A rectangular solid box of length 0.3 mis held horizontally, with one of its sides on the edge of a platform of
height 5 m. When released, it slips off the table in a very short time Ο = 0.01 s, remaining essentially
horizontal. The angle by which it would rotate when it hits the ground will be (in radians) close to:
a.
0.5
Correct Answer
b.
0.3
c.
0.02
d.
0.28
No explanation saved for this question yet.
Q2mcq
A common emitter amplifier circuit, built using an NPN transistor, is shown in the figure. Its dc current gain is
250, π $_{πΆ}$ = 1 k$\Omega$and π $_{πΆπΆ}$ = 10 V. The minimum base current for V $_{CE}$ to reach saturation is
a.
10 $\mu$A
b.
40 $\mu$A
Correct Answer
c.
7 $\mu$A
d.
100 $\mu$A
No explanation saved for this question yet.
Q3mcq
A parallel plate capacitor has 1$\mu$Fcapacitance. One of its two plates is given +2$\mu$Ccharge and the other plate,
+4 $\mu$Ccharge. The potential difference developed across the capacitor is:
a.
1 V
Correct Answer
b.
2 V
c.
3 V
d.
5 V
No explanation saved for this question yet.
Q4mcq
If Surface tension( S ), Moment of Inertia ( I ) and Planck's constant ( h ) , were to be taken as the
fundamental units, the dimensional formula for linear momentum would be:
a.
S $^{1 / 2}$ I $^{1 / 2}$ h $^{0}$
Correct Answer
b.
S $^{1 / 2}$ I $^{3 / 2}$ h $^{-1}$
c.
S $^{3 / 2}$ I $^{1 / 2}$ h $^{0}$
d.
S $^{1 / 2}$ I $^{1 / 2}$ h $^{-1}$
No explanation saved for this question yet.
Q5mcq
Two very long, straight, and insulated wires are kept at 90 $^{π}$ angle from each other in xy - planeas shown in
figure.
These wires carry currents of equal magnitude I, whose direction are shown in the figure. The net magnetic
field at point Pwill be:
a.
- $\frac{$\mu$0I}{2$\pi$d}$ ^x + ^y
b.
$\frac{+$\mu$0I}{$\pi$d}$ ^z
c.
$\frac{$\mu$0I}{2$\pi$d}$ ^x + ^y Zero
No explanation saved for this question yet.
Q6mcq
A nucleus A, with a finite de-broglie wavelength $\lambda$ $_{A}$ , undergoes spontaneous fission into two nuclei Band Cof
equal mass. Bflies in the same direction as that of A, while Cflies in the opposite direction with a velocity
equal to half of that of B . The de-Broglie wavelengths $\lambda$ $_{B}$ and $\lambda$ $_{C}$ of B and C are respectively:
A convex lens (of focal length 20 cm) and a concave mirror, having their principal axes along the same lines,
are kept 80 cmapart from each other. The concave mirror is to the right of the convex lens. When an object is
kept at a distance of 30 cmto the left of the convex lens, its image remains at the same position even if the
concave mirror is removed. The maximum distance of the object for which this concave mirror, by itself would
produce a virtual image would be:
a.
30 cm
b.
25 cm
c.
20 cm
d.
10 cm
Correct Answer
No explanation saved for this question yet.
Q8mcq
A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure).
Both roll without slipping all throughout. The two climb maximum heights β $_{π πβ}$ and β $_{ππ¦π}$ on the inline. The ratio
$\frac{βπ πβ}{βππ¦π}$ is given by:
a.
$\frac{2}{$\sqrt{\,}$5}$
b.
$\frac{4}{5}$
c.
$\frac{14}{15}$
Correct Answer
d.
1
No explanation saved for this question yet.
Q9mcq
In the figure shown, what is the current (in Ampere) drawn from the battery? You are given:
π $_{1}$ = 15 $\Omega$ , π $_{2}$ = 10 $\Omega$ , π $_{3}$ = 20 $\Omega$ , π $_{4}$ = 5 $\Omega$, π $_{5}$ = 25 $\Omega$, π $_{6}$ = 30 $\Omega$, πΈ= 15 V
a.
9 / 32
Correct Answer
b.
7 / 18
c.
13 / 24
d.
20 / 3
No explanation saved for this question yet.
Q10mcq
In a simple pendulum experiment for determination of acceleration due to gravity ( g ), time taken for 20
oscillations is measures by using a watch of 1second least count. The mean value of time taken comes out to be
30 s. The length of the pendulum is measured by using a meter scale of least count 1 mmand the value
obtained is 55.0 cm. The percentage error in the determination of gis close to
a.
0.2%
b.
6.8%
Correct Answer
c.
3.5%
d.
0.7%
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.
Two magnetic dipoles Xand Yare placed at a separation d, with their axes perpendicular to each other. The
dipole moment of Yis twice that of X. A particle of charge qis passing through their mid-point P, at angle
$\theta$ = 45 $^{o}$ with the horizontal line, as shown in figure. What would be the magnitude of force on the particle at
that instant? ( dis much larger than the dimension of the dipole)
Young's moduli of two wires Aand Bare in the ratio 7: 4. Wire Ais 2 mlong and has radius R . Wire Bis
1.5 mlong and has radius 2 mm . If the two wires stretch by the same length for a given load, the value of Ris
close to:
a.
1.3 mm
b.
1.9 mm
c.
1.5 mm
d.
1.7 mm
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The given diagram shows four processes i.e., isochoric, isobaric, isothermal and adiabatic. The correct
assignment of the processes, in the same order is given by:
a.
a d b c
b.
d a b c
c.
a d c b
d.
d a c b
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A damped harmonic oscillator has a frequency of 5oscillations per second. The amplitude drops to half its
value for every 10 oscillations. The time it will take to drop to $\frac{1}{1000}$ of the original amplitude is close to:
a.
50 s
b.
100 s
c.
20 s
d.
10 s
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A cell of internal resistance rdrives current through an external resistance R . The power delivered by the cell
to the external resistance will be maximum when:
a.
R = 2r
b.
R = r
c.
R = 1000 r
d.
R = 0.001 r
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
In a line of sight radio communication, a distance of about 50 kmis kept between the transmitting and
receiving antennas. If the height of the receiving antenna is 70 m,then the minimum height of the
transmitting antenna should be: (Radius of the Earth = 6 . 4 $\times$ 10 $^{6}$ m)
a.
20 m
b.
51 m
c.
40 m
d.
32 m
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Calculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light
of wavelength 500 nmcoming from a star.
a.
305 $\times$ 10 $^{-9}$ radian
b.
610 $\times$ 10 $^{-9}$ radian
c.
152.5 $\times$ 10 $^{-9}$ radian
d.
457.5 $\times$ 10 $^{-9}$ radian
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A body of mass π $_{1}$ moving with an unknown velocity of π£ $_{1}^{^}$ i, undergoes a collinear collision with a body of
mass π $_{2}$ moving with a velocity π£ $_{2}^{^}$ i . After the collision, π $_{1}$ and π $_{2}$ move with velocities of π£ $_{3}^{^}$ iand π£ $_{4}^{^}$ i,
respectively. If π $_{2}$ = 0.5 π $_{1}$ and π£ $_{3}$ = 0.5 π£ $_{1}$ ,then π£ $_{1}$ is:
In the circuit shown, a four-wire potentiometer is made of a 400 cmlong wire, which extends between Aand B
. The resistance per unit length of the potentiometer wire is r = 0.01 $\Omega$ / cm . If an ideal voltmeter is
connected as shown with jockey J at 50 cmfrom end A, the expected reading of the voltmeter will be:
a.
0.50 V
b.
0.25 V
c.
0.75 V
d.
0.20 V
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A uniform rectangular thin sheet π΄π΅πΆπ·of mass πhas length πand breadth π, as shown in the figure. If the
shaded portion π»π΅πΊπis cut-off, the coordinates of the centre of mass of the remaining portion will be:
a.
$\frac{5a}{12}$ , $\frac{5b}{12}$
b.
$\frac{5a}{3}$ , $\frac{5b}{3}$
c.
$\frac{2a}{3}$ , $\frac{2b}{3}$
d.
$\frac{3a}{4}$ , $\frac{3b}{4}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
An electric dipole is formed by two equal and opposite charges qwith separation d. The charges have same
mass m. It is kept in a uniform electric field E . If it is slightly rotated from its equilibrium orientation, then its
angular frequency πis:
a.
2$\sqrt$ $\frac{qE}{md}$
b.
$\sqrt$ $\frac{2qE}{md}$
c.
$\sqrt$ $\frac{qE}{2md}$
d.
$\sqrt$ $\frac{qE}{md}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
$\rightarrow$ ^ -1
The electric field in a region is given by E = Ax + B i , where Eis in NC and π₯is in metres. The values of
constants are A = 20 SIunit and B = 10 SIunit. If the potential at π₯= 1is V $_{1}$ and that at π₯= - 5is V $_{2}$ , then
V $_{1}$ - V $_{2}$ is
a.
320 V
b.
-520 V
c.
180 V
d.
-48 V
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A rocket has to be launched from earth in such a way that it never returns. If πΈis the minimum energy delivered
by the rocket launcher, what should be the minimum energy that the launcher should have, if the same rocket is
to be launched from the surface of the moon? Assume that the density of the earth and the moon are equal and
that the earth's volume is 64times the volume of the moon.
a.
$\frac{E}{64}$
b.
$\frac{E}{4}$
c.
$\frac{E}{32}$
d.
$\frac{E}{16}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The temperature, at which the root mean square velocity of hydrogen molecules equals their escape their
escape velocity from the earth, is closest to:
[Boltzmann Constant k $_{B}$ = 1.38 $\times$ 10 $^{-23}$ J / K
Avogadro number N $_{A}$ = 6.02 $\times$ 10 $^{26}$ / kg
Radius of Earth: 6.4 $\times$ 10 $^{6}$ m
Gravitational acceleration on Earth = 10 ms $^{-2}$ ]
a.
3 $\times$ 10 $^{5}$ K
b.
650 K
c.
800 K
d.
10 $^{4}$ K
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A positive point charge is released from rest at a distance r $_{0}$ from a positive line charge with uniform charge
density. The speed ( v ) of the point charge, as a function of instantaneous distance rfrom line charge, is
proportional to
a.
v $\propto$ $\frac{r}{r0}$
b.
v $\propto$$\sqrt$lnβ‘ $\frac{r}{r0}$
c.
v $\propto$lnβ‘ $\frac{r}{r0}$ v $\propto$e $\frac{+r}{r_{0}}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A circuit connected to an ac source of emf e = e $_{0}$ sinβ‘100π‘with tin seconds, gives a phase difference of $\frac{π}{4}$
between the emf πand current i. Which of the following circuits will exhibit this?
a.
RCcircuit with R = 1 k$\Omega$and C = 1 $\mu$F
b.
RLcircuit with R = 1 k$\Omega$and L = 1 mH
c.
RLcircuit with R = 1 k$\Omega$and L = 10 mH
d.
RCcircuit with R = 1 k$\Omega$and C = 10 $\mu$F
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A particle starts from origin Ofrom rest and moves with a uniform acceleration along the positive π₯- axis.
Identify all figures that correctly represent the motion qualitatively.
( a = acceleration, π£= velocity, π₯= dispalcement, t = time)
A
B
( C )
( D )
a.
A, B, ( D )
b.
A, B, ( C )
c.
B, ( C )
d.
( A )
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Calculate the standard cell potential (in V) of the cell in which the following reaction takes place:
Fe $^{2 +}$ aq + Ag $^{+}$ aq $\rightarrow$Fe $^{3 +}$ aq + Ag(s)
Given that
E $_{Ag}^{o}_{+/ Ag}$ = x V
E $^{o}_{Fe2 +}_{/ Fe}$ = y V
E $^{o}_{Fe3 +}_{/ Fe}$ = z V
a.
x + 2y - 3z
b.
x - y
c.
x - z
d.
x + y - z
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Consider the bcc unit cells of the solids 1and 2with the position of atoms as shown below. The radius of atom
B is twice that of atom A . The unit cell edge length is 50 %more in solid 2than in 1. What is the
approximate packing efficiency in solid 2?
a.
90 %
b.
45 %
c.
75 %
d.
65 %
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
For the solution of the gases w, x, yand zin water at 298 K, the Henry's law constants ( K $_{H}$ ) are
0.5, 2, 35and 40 kbar, respectively. The correct plot for the given data is:
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If pis the momentum of the fastest electron ejected from a metal surface after the irradiation of light having
wavelength $\lambda$, then for 1.5 pmomentum of the photoelectron, the wavelength of the light should be:
(Assume kinetic energy of ejected photoelectron to be very high in comparison to work function)
a.
$\frac{4}{9}$ $\lambda$
b.
$\frac{3}{4}$ $\lambda$
c.
$\frac{2}{3}$ $\lambda$
d.
$\frac{1}{2}$ $\lambda$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
5moles of an ideal gas at 100 Kare allowed to undergo reversible compression till its temperature becomes
200 K . If C $_{V}$ = 28 J K $^{-1}$ , calculate βUand βpVfor the process. (R = 8.0 J K $^{-1}$ mol $^{-1}$ )
a.
βU = 14 J; βpV = 0.8 J
b.
βU = 14 kJ; βpV = 18 kJ
c.
βU = 14 kJ; βpV = 4 kJ
d.
βU = 2.8 kJ; βpV = 0.8 kJ
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
0.27 gof a long chain fatty acid was dissolved in 100 cm $^{3}$ of hexane. 10 mL of this solution was added
dropwise to the surface of water in a round watch glass. Hexane evaporates and a monolayer is formed. The
distance from edge to centre of the watch glass is 10 cm. What is the height of the monolayer?
[Density of fatty acid = 0.9 g cm $^{-3}$ ; $\pi$ = 3]
a.
10 $^{-4}$ m
b.
10 $^{-6}$ m
c.
10 $^{-8}$ m
d.
10 $^{-2}$ m
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
For the following reaction, equilibrium constant are given:
Ss + O $_{2}$ g $\rightleftharpoons$SO $_{2}$ g; K $_{1}$ = 10 $^{52}$
2Ss + 3O $_{2}$ g $\rightleftharpoons$2SO $_{3}$ g; K $_{2}$ = 10 $^{129}$
The equilibrium constant for the reaction, 2SO $_{2}$ g + O $_{2}$ g $\rightleftharpoons$2SO $_{3}$ gis:
a.
10 $^{154}$
b.
10 $^{25}$
c.
10 $^{181}$
d.
10 $^{77}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Among the following molecules/ ions,
C $^{2 -}_{2}$ , N $^{2 -}_{2}$ , O $^{2 -}_{2}$ , O $_{2}$
Which one is diamagnetic and has the shortest bond length?
a.
N $^{2 -}_{2}$
b.
O $^{2 -}_{2}$
c.
O $_{2}$
d.
C $^{2 -}_{2}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
k1 k2
For a reaction scheme A $\rightarrow$ B $\rightarrow$ C, if the net rate of formation of B is set to be zero then the
concentration of B is given by:
a.
k $_{1}$ + k $_{2}$ [A]
b.
k $_{1}$ k $_{2}$ [A]
c.
$\frac{k1}{k2}$ [A]
d.
k $_{1}$ - k $_{2}$ [A]
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 linear equations
π₯- 2π¦+ ππ§= 1
2π₯+ π¦+ π§= 2
3π₯- π¦- ππ§= 3
has a solution π₯, π¦, π§, π§$\neq$0, then π₯, π¦lies on the straight line whose equation is:
a.
4π₯- 3π¦- 4 = 0
b.
3π₯- 4π¦- 4 = 0
c.
3π₯- 4π¦- 1 = 0
d.
4π₯- 3π¦- 1 = 0
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If the lengths of the sides of a triangle are in A.P and the greatest angle is double the smallest, then a ratio of
lengths of the sides of this triangle is:
a.
3: 4: 5
b.
5: 6: 7
c.
5: 9: 13
d.
4: 5: 6
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The tangent and the normal lines at the point $\sqrt$3, β1to the circle π₯ $^{2}$ + π¦ $^{2}$ = 4and the π₯-axis form a triangle.
The area of this triangle (in square units) is:
a.
$\frac{1}{3} \frac{2}{$\sqrt{\,}$3}$
c.
$\frac{4}{$\sqrt{\,}$3}$
d.
$\frac{1}{$\sqrt{\,}$3}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If three distinct numbers π, π, πare in G.P. and the equations ππ₯ $^{2}$ + 2ππ₯+ π= 0and ππ₯ $^{2}$ + 2ππ₯+ π= 0have
a common root, then which one of the following statements is correct?
a.
$\frac{π}{π}$ , $\frac{π}{π}$ , $\frac{π}{π}$ are in A.P.
b.
π, π, πare in A.P.
c.
π, π, πare in G.P.
d.
$\frac{π}{π}$ , $\frac{π}{π}$ , $\frac{π}{π}$ are in G.P.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The tangent to the parabola π¦ $^{2}$ = 4π₯at the point where it intersects the circle π₯ $^{2}$ + π¦ $^{2}$ = 5in the first quadrant,
passes through the point:
a.
$\frac{1}{4}$ , $\frac{3}{4}$
b.
- $\frac{1}{3}$ , $\frac{4}{3}$
c.
- $\frac{1}{4}$ , $\frac{1}{2}$
d.
$\frac{3}{4}$ , $\frac{7}{4}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let ππΌ= π₯, π¦: π¦ $^{2}$ $\leq$π₯, 0 $\leq$π₯$\leq$πΌ and AπΌis area of the region ππΌ. If for a π, 0 < π< 4, Aπ: A4 = 2: 5, then π
equals:
a.
4 $\frac{2}{5} \frac{1}{3}$
b.
2 $\frac{4}{25} \frac{1}{3}$
c.
4 $\frac{4}{25} \frac{1}{3}$
d.
2 $\frac{2}{5} \frac{1}{3}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
$\rightarrow$ ^ ^ ^ $\rightarrow$ ^ ^ ^ $\rightarrow$π$\times$ $\rightarrow$
Let π= 3π+ 2π+ π₯π and π= π- π+ π, for some real π₯. Then the condition for π = π to follow
6
If the fourth term in the binomial expansion of $\sqrt$π₯ $\frac{1}{1 + log_{10}π₯}$ + π₯ $\frac{1}{12}$ is equal to 200, and π₯> 1, then the value of
π₯is
a.
100
b.
10 $^{4}$
c.
10 $^{3}$
d.
10
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Two vertical poles of height, 20 πand 80 πstand apart on a horizontal plane. The height (in meters) of the
point of intersection of the lines joining the top of each pole to the foot of the other, from this horizontal plane
is:
a.
16
b.
12
c.
18
d.
15
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
π₯ π₯
Let ππ₯= $\int$ ππ‘ππ‘, where πis a non-zero even function. If ππ₯+ 5 = ππ₯, then $\int$ π( π‘) ππ‘equals
0 0
π₯+ 5 5
If $\int$ $\frac{ππ₯}{36^{2}}$ = π₯ππ₯1 + π₯ $^{6}\frac{1}{3}$ + πΆ, where πΆis a constant of integration, then the function ππ₯is equal to
π₯ 1 + π₯ $^{3}$
a.
$\frac{3}{π₯2}$
b.
- $\frac{1}{2π₯3}$
c.
- $\frac{1}{6π₯3}$
d.
- $\frac{1}{2π₯2}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The vector equation of the plane through the line of intersection of the planes π₯+ π¦+ π§= 1and
2π₯+ 3π¦+ 4π§= 5which is perpendicular to the plane π₯- π¦+ π§= 0is
$\rightarrow$ $\rightarrow$
a.
π$\times$ ^π+ ^
π+ 2 = 0
$\rightarrow$
b.
^π- ^
π$\cdot$ π- 2 = 0
c.
π$\times$ ^π- ^
π+ 2 = 0
d.
$\rightarrow$ ^π- ^
π$\cdot$( π) + 2 = 0
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let π: -1,3 $\rightarrow$R be defined as
π₯+ π₯, -1 $\leq$π₯< 1
ππ₯= π₯+ π₯, 1 $\leq$π₯< 2
π₯+ π₯, 2 $\leq$π₯$\leq$3,
Where tdenotes the greatest integer less than or equal to π‘. Then, πis discontinuous at:
a.
Only one point
b.
Only two points
c.
Four or more points
d.
Only three points
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
1 1 1
Let the numbers 2, π, πbe in an A.P. and π΄= 2 π π . If det ( π΄) $\in$[2,16], then πlies in the interval:
4 π $^{2}$ π $^{2}$
a.
2,3
b.
4,6
c.
3,2 + 2 $\frac{3}{4}$
d.
2 + 2 $\frac{3}{4}$ , 4
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 10 and
one of the foci is at 0,5$\sqrt$3, then the length of its latus rectum is:
a.
6
b.
10
c.
8
d.
5
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A student scores the following marks in five tests: 45,54,41,57,43. His score is not known for the sixth test. If
the mean score is 48in the six tests, then the standard deviation of the marks in six tests is:
a.
$\frac{10}{3}$
b.
$\frac{100}{3}$
c.
$\frac{10}{$\sqrt{\,}$3}$
d.
$\frac{100}{$\sqrt{\,}$3}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Given that the slope of the tangent to a curve π¦= π¦( π₯) at any point π₯, π¦is $\frac{2π¦}{π₯2}$ . If the curve passes through the
centre of the circle π₯ $^{2}$ + π¦ $^{2}$ - 2π₯- 2π¦= 0, then its equation is
Suppose that the points β, βπ, β1, β2and -3, β4lie on the line πΏ $_{1}$ . If a line πΏ $_{2}$ passing through the points β, βπand
4, β3is perpendicular to πΏ $_{1}$ , then $\frac{π}{β}$ equals:
a.
- $\frac{1}{7}$
b.
3
c.
0
d.
$\frac{1}{3}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let ππ₯= a $^{π₯}$ ( a > 0 ) be written as ππ₯= π $_{1}$ π₯+ π $_{2}$ π₯, where π $_{1}$ ( π₯) is an even function and π $_{2}$ ( π₯) is an odd
function. Then π $_{1}$ π₯+ π¦+ π $_{1}$ ( π₯- π¦) equals:
a.
2π $_{1}$ π₯π $_{1}$ π¦
b.
2π $_{1}$ π₯+ π¦π $_{1}$ π₯- π¦
c.
2π $_{1}$ π₯π $_{2}$ π¦
d.
2π $_{1}$ π₯+ π¦π $_{2}$ π₯- π¦
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
