The reading in the ideal voltmeter πshown in the given circuit diagram is:
a.
5 V
b.
10 V
c.
0 V
Correct Answer
d.
3 V
No explanation saved for this question yet.
Q2nat
The radius of a nucleus of mass number 64is 4 . 8fermi. Then the mass number of another nucleus having
radius of 4fermi is $\frac{1000}{π₯}$ ,where π₯is _________.
✓ Accepted Answer:27
No explanation saved for this question yet.
Q3mcq
In the given circuit if the power rating of Zener diode is 10 mW, the value of series resistance π $_{π }$ to regulate
the input unregulated supply is:
a.
$\frac{3}{7}$ ππΊ
Correct Answer
b.
10 πΊ
c.
1 ππΊ
d.
10 ππΊ
No explanation saved for this question yet.
Q4mcq
Two moles of a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the
mixture at constant volume is :
a.
$\frac{9}{4}$ π
Correct Answer
b.
$\frac{7}{4}$ π
c.
$\frac{3}{2}$ π $\frac{5}{2}$ π
No explanation saved for this question yet.
Q5nat
A regular polygon of 6sides is formed by bending a wire of length 4 $\pi$meter. If an electric current of
4π$\sqrt$3 Ais flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be
π₯$\times$ 10 $^{-7}$ T .The value of π₯is ______.
✓ Accepted Answer:72
No explanation saved for this question yet.
Q6mcq
A parallel plate capacitor has a capacitance πΆ= 200 pF. It is connected to 230 Vac supply with an angular
frequency 300 rad s $^{-1}$ . The rms value of conduction current in the circuit and displacement current in the
capacitor respectively are :
a.
1 .38 $\mu$Aand 1 .38 $\mu$A
b.
14 .3 $\mu$Aand 143 $\mu$A
c.
13 .8 $\mu$Aand 138 $\mu$A
d.
13 .8 $\mu$Aand 13 .8 $\mu$A
Correct Answer
No explanation saved for this question yet.
Q7mcq
The radius π, length πand resistance π of a metal wire was measured in the laboratory as
π= 0 .35 $\pm$ 0 .05 cm, π = 100 $\pm$ 10 ohm, π= 15 $\pm$ 0 .2 cm
The percentage error in resistivity of the material of the wire is :
a.
25 . 6%
b.
39 .9 %
Correct Answer
c.
37 . 3%
d.
35 .6 %
No explanation saved for this question yet.
Q8mcq
A particle moving in a circle of radius π with uniform speed takes time πto complete one revolution. If this
particle is projected with the same speed at an angle πto the horizontal, the maximum height attained by it is
equal to 4π . The angle of projection πis then given by :
a.
$\frac{1}{2}$
sin $\frac{-12ππ2}{π2π }$
Correct Answer
b.
$\frac{1}{2}$
sin $^{-1}\frac{π2π }{2ππ2}$
c.
$\frac{1}{2}$
cos $\frac{-12ππ2}{π2π }$
d.
cos $_{-1}\frac{ππ }{2ππ2} \frac{1}{2}$
No explanation saved for this question yet.
Q9nat
A rectangular loop of sides 12 cmand 5 cm, with its sides parallel to the π₯-axis and π¦-axis respectively
moves with a velocity of 5 cm s $^{-1}$ in the positive π₯axis direction, in a space containing a variable magnetic
field in the positive π§direction. The field has a gradient of 10 $^{-3}$ T cm $^{-1}$ along the negative π₯direction and it
is decreasing with time at the rate of 10 $^{-3}$ T s $^{-1}$ .If the resistance of the loop is 6 mπΊ, the power dissipated
by the loop as heat is ______ $\times$ 10 $^{-9}$ W .
✓ Accepted Answer:216
No explanation saved for this question yet.
Q10nat
A particle is moving in one dimension (along π₯axis) under the action of a variable force. It's initial position
was 16 mright of origin. The variation of its position π₯with time π‘is given as π₯= - 3π‘ $^{3}$ + 18π‘ $^{2}$ + 16π‘,
where π₯is in mand π‘is in s . The velocity of the particle when its acceleration becomes zero is _________
m s $^{-1}$ .
✓ Accepted Answer:52
No explanation saved for this question yet.
🎉 10 Free Sample Solutions Completed
Unlock All 90 Questions & Solutions
Sign up free in seconds to unlock step-by-step AI answers for the remaining 80 questions.
A galvanometer has a resistance of 50 πΊand it allows maximum current of 5 mA. It can be converted into
voltmeter to measure upto 100 Vby connecting in series a resistor of resistance.
a.
5975 πΊ
b.
20050 πΊ
c.
19950 πΊ
d.
19500 πΊ
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle πwith
each other. When suspended in water the angle remains the same. If density of the material of the sphere is
1 . 5 g / cc, the dielectric constant of water will be ______.
(Take density of water = 1 g / cc)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A monochromatic light of wavelength 6000 A $^{o}$ is incident on the single slit of width 0 . 01 mm. If the
diffraction pattern is formed at the focus of the convex lens of focal length 20 cm, the linear width of the
central maximum is :
a.
60 mm
b.
24 mm
c.
120 mm
d.
12 mm
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Two identical capacitors have same capacitance πΆ. One of them is charged to the potential πand other to the
potential 2π. The negative ends of both are connected together. When the positive ends are also joined
together, the decrease in energy of the combined system is :
a.
$\frac{1}{4}$ πΆπ $^{2}$
b.
2πΆπ $^{2}$
c.
$\frac{1}{2}$ πΆπ $^{2}$
d.
$\frac{3}{4}$ πΆπ $^{2}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A tuning fork resonates with a sonometer wire of length 1 mstretched with a tension of 6 N . When the
tension in the wire is changed to 54 N, the same tuning fork produces 12beats per second with it. The
frequency of the tuning fork is _______ Hz .
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A ball of mass 0 . 5 kgis attached to a string of length 50 cm. The ball is rotated on a horizontal circular path
about its vertical axis. The maximum tension that the string can bear is 400 N. The maximum possible value of
angular velocity of the ball in rad s $^{-1}$ is,:
a.
1600
b.
40
c.
1000
d.
20
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
10divisions on the main scale of a Vernier calliper coincide with 11divisions on the Vernier scale. If each
division on the main scale is of 5units, the least count of the instrument is :
a.
$\frac{1}{2}$
b.
$\frac{10}{11}$
c.
$\frac{50}{11}$
d.
$\frac{5}{11}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The identical spheres each of mass 2πare placed at the corners of a right angled triangle with mutually
perpendicular sides equal to 4 meach. Taking point of intersection of these two sides as origin, the
magnitude of position vector of the centre of mass of the system is $\frac{4$\sqrt{\,}$2}{π₯}$ , where the value of π₯is ________.
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If π is the radius of the earth and the acceleration due to gravity on the surface of earth is π= π $^{2}$ m s $^{-2}$ , then
the length of the second's pendulum at a height β= 2π from the surface of earth will be:
a.
$\frac{2}{9}$ m
b.
$\frac{1}{9}$ m
c.
$\frac{4}{9}$ m
d.
$\frac{8}{9}$ m
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The distance between object and its 3times magnified virtual image as produced by a convex lens is 20 cm .
The focal length of the lens used is ________ cm .
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Consider a block and trolley system as shown in figure. If the coefficient of kinetic friction between the trolley
and the surface is 0 . 04, the acceleration of the system in m s $^{-2}$ is: (Consider that the string is massless and
unstretchable and the pulley is also massless and frictionless) :
a.
3
b.
4
c.
2
d.
1 . 2
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A plane is in level flight at constant speed and each of its two wings has an area of 40 m $^{2}$ . If the speed of the
air is 180 km h $^{-1}$ over the lower wing surface and 252 km h $^{-1}$ over the upper wing surface, the mass of
the plane is ________kg . (Take air density to be 1 kg m $^{- 3}$ and π= 10 m s $^{- 2}$ )
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A simple pendulum of length 1 mhas a wooden bob of mass 1 kg. It is struck by a bullet of mass 10 $^{-2}$ kg
moving with a speed of 2 $\times$ 10 $^{2}$ m s $^{-1}$ . The bullet gets embedded into the bob. The height to which the bob
rises before swinging back is. (use π= 10 m s $^{-2}$ )
a.
0 . 30 m
b.
0 . 20 m
c.
0 . 35 m
d.
0 . 40 m
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The de Broglie wavelengths of a proton and an πΌparticle are πand 2πrespectively. The ratio of the velocities
of proton and πΌparticle will be :
a.
1 : 8
b.
1 : 2
c.
4 : 1
d.
8 : 1
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The pressure and volume of an ideal gas are related as ππ $\frac{3}{2}$ = πΎ(Constant). The work done when the gas is
taken from state π΄π $_{1}$ , π $_{1}$ , π $_{1}$ to state π΅π $_{2}$ , π $_{2}$ , π $_{2}$ is :
The current in a conductor is expressed as πΌ= 3π‘ $^{2}$ + 4π‘ $^{3}$ , where πΌis in Ampere and π‘is in second. The amount
of electric charge that flows through a section of the conductor during π‘= 1 sto π‘= 2 sis ____________
C .
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Given below are two statements : one is labelled as Assertion Aand the other is labelled as Reason R .
Assertion A:Haloalkanes react with KCNto form alkyl cyanides as a main product while with AgCNform
isocyanide as the main product.
Reason R: KCNand AgCNboth are highly ionic compounds.
In the light of the above statement, choose the most appropriate answer from the options given below.
a.
Ais correct but Ris not correct
b.
Both Aand Rare correct but Ris not the correct
explanation of A
c.
Ais not correct but Ris correct
d.
Both Aand Rare correct and Ris the correct
explanation of A
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
K $_{a}$ for CH $_{3}$ COOHis 1 . 8 $\times$ 10 $^{-5}$ and K $_{b}$ for NH $_{4}$ OHis 1 . 8 $\times$ 10 $^{-5}$ .The pHof ammonium acetate solution will
be
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Given below are two statements: one is labelled as Assertion Aand the other is labelled as Reason R .
Assertion A: PH $_{3}$ has lower boiling point than NH $_{3}$ .
Reason R: In liquid state NH $_{3}$ molecules are associated through Vander Waal's forces, but PH $_{3}$ molecules are
associated through hydrogen bonding.
In the light of the above statements, choose the most appropriate answer from the options given below:
a.
Both Aand Rare correct and Ris not the correct
explanation of A
b.
Ais not correct but Ris correct
c.
Both Aand Rare correct but Ris the correct
explanation of A
d.
Ais correct but Ris not correct
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Given below are two statements :
Statement (I) : Potassium hydrogen phthalate is a primary standard for standardisation of sodium hydroxide
solution.
Statement (II) : In this titration phenolphthalein can be used as indicator.
In the light of the above statements, choose the most appropriate answer from the options given below:
a.
Both Statement I and Statement II are correct
b.
Statement I is correct but Statement II is
incorrect
c.
Statement I is incorrect but Statement II is
correct
d.
Both Statement I and Statement II are incorrect
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Given below are two statements:
Statement (I): A solution of NiH $_{2}$ O $_{6}^{2 +}$ is green in colour.
Statement (II): A solution of Ni ( CN ) $_{4}^{2 -}$ is colourless.
In the light of the above statements, choose the most appropriate answer from the options given below:
a.
Both Statement I and Statement II are incorrect
b.
Both Statement I and Statement II are correct
c.
Statement I is incorrect but Statement II is
correct
d.
Statement I is correct but Statement II is
incorrect
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
We have three aqueous solutions of NaCllabelled as βAβ, βBβand βCβwith concentration 0 . 1 M, 0 . 01Mand
0 . 001 M, respectively. The value of van tβHaft factor ifor these solutions will be in the order.
a.
i $_{A}$ < i $_{B}$ < i $_{C}$
b.
i $_{A}$ < i $_{C}$ < i $_{B}$
c.
i $_{A}$ = i $_{B}$ = i $_{C}$
d.
i $_{A}$ > i $_{B}$ > i $_{C}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Among the following oxide of p- block elements, Cl $_{2}$ O $_{7}$ , CO, PbO $_{2}$ , N $_{2}$ O, NO, Al $_{2}$ O $_{3}$ , SiO $_{2}$ , N $_{2}$ O $_{5}$ , SnO $_{2}$
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Which of the following reactions are disproportionation reactions?
1 Cu $^{+}$ $\rightarrow$Cu $^{2 +}$ + Cu
2 3MnO $^{2 -}_{4}$ + 4H $^{+}$ $\rightarrow$2MnO $^{-}_{4}$ + MnO $_{2}$ + 2H $_{2}$ O
3 2KMnO $_{4}$ $\rightarrow$K $_{2}$ MnO $_{4}$ + MnO $_{2}$ + O $_{2}$
4 2MnO $^{-}_{4}$ + 3Mn $^{2 +}$ + 2H $_{2}$ O $\rightarrow$5MnO $_{2}$ + 4H $^{+}$
Choose the correct answer from the options given below:
a.
1, 2
b.
2, 3, 4
c.
1, 2, 4
d.
1, 4
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
In acidic medium, K $_{2}$ Cr $_{2}$ O $_{7}$ shows oxidising action as represented in the half reaction
Cr $_{2}$ O $^{2 -}_{7}$ + XH $^{+}$ + Ye $^{-}$ $\rightarrow$2 A + ZH $_{2}$ O X, Y, Zand Aare respectively are:
a.
8, 6, 4and Cr $_{2}$ O $_{3}$
b.
14, 7, 6and Cr $^{3 +}$
c.
8, 4, 6and Cr $_{2}$ O $_{3}$
d.
14, 6, 7and Cr $^{3 +}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Consider the following reaction:
3PbCl $_{2}$ + 2NH $_{43}$ PO $_{4}$ $\rightarrow$Pb $_{3}$ PO $_{42}$ + 6NH $_{4}$ Cl
If 72 mmol PbCl $_{2}$ is mixed with 50 mmolof NH $_{43}$ PO $_{4}$ ,then amount of Pb $_{3}$ PO $_{42}$ formed in mmol.
(nearest integer)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents
most appropriate relationship between wavelength of electron $\lambda$and momentum of electron p ?
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The number of white coloured salts among the following is .......
A SrSO $_{4}$ B MgNH $_{4}$ PO $_{4}$ C BaCrO $_{4}$
D Mn ( OH ) $_{2}$ E PbSO $_{4}$ F PbCrO $_{4}$
G AgBr H PbI $_{2}$ I CaC $_{2}$ O $_{4}$
J Fe ( OH ) $_{2}$ CH $_{3}$ COO
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Given below are two statements:
Statement (I) : Aminobenzene and aniline are same organic compounds.
Statement (II) : Aminobenzene and aniline are different organic compounds.
In the light of the above statements, choose the most appropriate answer from the options given below:
a.
Both Statement I and Statement II are correct
b.
Statement I is correct but Statement II is
incorrect
c.
Statement I is incorrect but Statement II is
correct
d.
Both Statement I and Statement II are incorrect
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The potential for the given half cell at 298Kis -............ $\times$ 10 $^{-2}$ V .
2H $_{( aq )}^{+}$ + 2e $^{-}$ $\rightarrow$H $_{2}$ ( g)
H $^{+}$ = 1M, P $_{H2}$ = 2 atm
(Given2 . 303 RT / F = 0 . 06 V, log2 = 0 . 3)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Given below are two statements:
Statement (I) : The NH $_{2}$ group in Aniline is ortho and para directing and a powerful activating group.
Statement (II) : Aniline does not undergo FriedelCraft's reaction (alkylation and acylation).
In the light of the above statements, choose the most appropriate answer from the options given below:
a.
Both Statement I and Statement II are correct
b.
Both Statement I and Statement II are incorrect
c.
Statement I is incorrect but Statement II is
correct
d.
Statement I is correct but Statement II is
incorrect
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The ratio of $\frac{14C}{12C}$ in a piece of wood is $\frac{1}{8}$ part that of atmosphere. If half life of $^{14}$ Cis 5730years, the age of
wood sample is ..... years.
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let the median and the mean deviation about the median of 7observation 170, 125, 230, 190, 210, π, πbe 170
and $\frac{205}{7}$ respectively. Then the mean deviation about the mean of these 7observations is:
a.
31
b.
28
c.
30
d.
32
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If the shortest distance between the lines $\frac{π₯-π}{-2}$ = $\frac{π¦-2}{1}$ = $\frac{π§-1}{1}$ and $\frac{π₯-$\sqrt{\,}$3}{1}$ = $\frac{π¦-1}{-2}$ = $\frac{π§-2}{1}$ is 1, then the sum of all
possible values of πis
a.
0
b.
2$\sqrt$3
c.
3$\sqrt$3
d.
-2$\sqrt$3
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A bag contains 8balls, whose colours are either white or black. 4balls are drawn at random without
replacement and it was found that 2balls are white and other 2balls are black. The probability that the bag
contains equal number of white and black balls is:
a.
$\frac{2}{5}$
b.
$\frac{2}{7}$
c.
$\frac{1}{7}$
d.
$\frac{1}{5}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If the coefficient of π₯ $^{30}$ in the expansion of 1 + $\frac{1}{π₯}^{6}$ 1 + π₯ $^{27}$ 1 -π₯ $^{38}$ ; π₯$\neq$0is πΌ, then πΌequals _________.
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let the line πΏ: $\sqrt$2π₯+ π¦= πΌpass through the point of the intersection π(in the first quadrant)of the circle
π₯ $^{2}$ + π¦ $^{2}$ = 3and the parabola π₯ $^{2}$ = 2π¦. Let the line πΏtouch two circles πΆ $_{1}$ and πΆ $_{2}$ of equal radius 2$\sqrt$3. If the
centres π $_{1}$ and π $_{2}$ of the circles πΆ $_{1}$ and πΆ $_{2}$ lie on the π¦-axis, then the square of the area of the triangle ππ $_{1}$ π $_{2}$
is equal to _________.
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let π: π $\rightarrow$π be defined as
$\frac{π-πcos2π₯}{π₯2}$ ; π₯< 0
ππ₯= $_{2}$
π₯ + ππ₯+ 2; 0 $\leq$π₯$\leq$1
2π₯+ 1; π₯> 1
If πis continuous everywhere in π and πis the number of points where πis NOT differential then
π + π + π + πequals:
a.
1
b.
4
c.
3
d.
2
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
For 0 < π< π/ 2, if the eccentricity of the hyperbola π₯ $^{2}$ -π¦ $^{2}$ cosec $^{2}$ π= 5is $\sqrt$7times eccentricity of the
ellipse π₯ $^{2}$ cosec $^{2}$ π+ π¦ $^{2}$ = 5, then the value of πis:
a.
$\frac{π}{6}$
b.
$\frac{5π}{12}$
c.
$\frac{π}{3}$
d.
$\frac{π}{4}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let the line of the shortest distance between the lines πΏ $_{1}$ : $^{$\rightarrow$}$ π= $^{^}$ π+ 2 $^{^}$ π+ 3π+ π $^{^}^{^}$ π- $^{^}$ π+ π $^{^}$ and
πΏ $_{2}$ : $^{$\rightarrow$}$ π= 4 $^{^}$ π+ 5 $^{^}$ π+ 6π+ π $^{^}^{^}$ π+ $^{^}$ π- π $^{^}$ intersect πΏ $_{1}$ and πΏ $_{2}$ at πand πrespectively. If πΌ, π½, πΎis the midpoint of the
line segment ππ, then 2πΌ+ π½+ πΎis equal to___________
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let π΄= 1, 2, 3, . ..20. Let π $_{1}$ and π $_{2}$ two relation on π΄such that
π $_{1}$ = {π, π: πis divisible by π}
π $_{2}$ = {π, π: πis an integral multiple of π}
Then, number of elements in π $_{1}$ -π $_{2}$ is equal to __________.
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If the system of equations
2π₯+ 3π¦-π§= 5
π₯+ πΌπ¦+ 3π§= -4
3π₯-π¦+ π½π§= 7
has infinitely many solutions, then 13πΌπ½is equal to
a.
1110
b.
1120
c.
1210
d.
1220
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If πis the number of ways five different employees can sit into four indistinguishable offices where any office
may have any number of persons including zero, then πis equal to:
a.
47
b.
53
c.
51
d.
43
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let π₯denote the fractional part of π₯and ππ₯= $\frac{cos-11 -π₯2sin-11 -π₯}{π₯-π₯3}$ , π₯$\neq$0. If πΏ and π respectively denotes the
left hand limit and the right hand limit of ππ₯at π₯= 0, then $\frac{32}{π2}$ πΏ $^{2}$ + π $^{2}$ is equal to __________.
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let $\frac{π₯2}{π2}$ + $\frac{π¦2}{π2}$ = 1, π> πbe an ellipse, whose eccentricity is $\frac{1}{$\sqrt{\,}$2}$ and the length of the latus rectum is $\sqrt$14. Then
the square of the eccentricity of $\frac{π₯2}{π2}$ - $\frac{π¦2}{π2}$ = 1is:
a.
3
b.
$\frac{7}{2}$
c.
$\frac{3}{2}$
d.
$\frac{5}{2}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let πΆ: π₯ $^{2}$ + π¦ $^{2}$ = 4and πΆ $'$ : π₯ $^{2}$ + π¦ $^{2}$ -4ππ₯+ 9 = 0be two circles. If the set of all values of πso that the circles
πΆand πΆ'intersect at two distinct points, is π -π, π, then the point 8π+ 12, 16π-20lies on the curve:
a.
π₯ $^{2}$ + 2π¦ $^{2}$ -5π₯+ 6π¦= 3
b.
5π₯ $^{2}$ -π¦= -11
c.
π₯ $^{2}$ -4π¦ $^{2}$ = 7
d.
6π₯ $^{2}$ + π¦ $^{2}$ = 42
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
