Maths-
(where a, b are integers) =
Maths-General
- 0
- 2
Answer:The correct answer is: 2
The centre of the sphere is (1, 2, –3) so if other extremity of diameter is (x1, y1, z1), then
= 1,
= 2,
= –3
\ Required point is (0, 5, 7).
Hence (c) is the correct answer.
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maths-
The foot of the perpendicular on the line drown from the origin is C if the line cuts the x-axis and y-axis at A and B respectively then BC : CA is
Let direction ratios of the required line be <a, b, c>
Therefore a - 2 b - 2 c = 0
And 2 b + c = 0
Þ c = - 2 b
a - 2 b + 4b = 0 Þ a = - 2 b
Therefore direction ratios of the required line are <- 2b, b, - 2b> = <2, - 1, 2>
direction cosines of the required line
= 
Therefore a - 2 b - 2 c = 0
And 2 b + c = 0
Þ c = - 2 b
a - 2 b + 4b = 0 Þ a = - 2 b
Therefore direction ratios of the required line are <- 2b, b, - 2b> = <2, - 1, 2>
direction cosines of the required line
The foot of the perpendicular on the line drown from the origin is C if the line cuts the x-axis and y-axis at A and B respectively then BC : CA is
maths-General
Let direction ratios of the required line be <a, b, c>
Therefore a - 2 b - 2 c = 0
And 2 b + c = 0
Þ c = - 2 b
a - 2 b + 4b = 0 Þ a = - 2 b
Therefore direction ratios of the required line are <- 2b, b, - 2b> = <2, - 1, 2>
direction cosines of the required line
= 
Therefore a - 2 b - 2 c = 0
And 2 b + c = 0
Þ c = - 2 b
a - 2 b + 4b = 0 Þ a = - 2 b
Therefore direction ratios of the required line are <- 2b, b, - 2b> = <2, - 1, 2>
direction cosines of the required line
maths-
maths-General
maths-
is equal to
Let direction cosines of straight line be l, m, n
\ 4l + m + n = 0
l – 2m + n = 0
Þ Þ
\ Equation of straight line is .
Hence (c) is the correct choice.
is equal to
maths-General
Let direction cosines of straight line be l, m, n
\ 4l + m + n = 0
l – 2m + n = 0
Þ Þ
\ Equation of straight line is .
Hence (c) is the correct choice.
maths-
Let denotes greatest integer function, then is equal to
Since these two lines are intersecting so shortest distance between the lines will be 0.
Hence (c) is the correct answer.
Let denotes greatest integer function, then is equal to
maths-General
Since these two lines are intersecting so shortest distance between the lines will be 0.
Hence (c) is the correct answer.
maths-
The value of is equal to
Given plane y + z + 1 = 0 is parallel to x-axis as 0.1 + 1.0 + 1.0 = 0
but normal to the plane will be perpendicular to x-axis.
Hence (c) is the correct answer.
The value of is equal to
maths-General
Given plane y + z + 1 = 0 is parallel to x-axis as 0.1 + 1.0 + 1.0 = 0
but normal to the plane will be perpendicular to x-axis.
Hence (c) is the correct answer.
maths-
The value of (where {x} is the fractional part of x) is
The value of (where {x} is the fractional part of x) is
maths-General
maths-
The shortest distance between the two straight line and is
The shortest distance between the two straight line and is
maths-General
physics-
A bob of mass
is suspended by a massless string of length
. The horizontal velocity
at position
is just sufficient to make it reach the point
. The angle
at which the speed of the bob is half of that at
, satisfies


A bob of mass
is suspended by a massless string of length
. The horizontal velocity
at position
is just sufficient to make it reach the point
. The angle
at which the speed of the bob is half of that at
, satisfies

physics-General

physics-
A bob of mass M is suspended by a massless string of length L. The horizontal velocity at position A is just sufficient to make it reach the point B. The angle at which the speed of the bob is half of that at A, satisfies

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(i)
A bob of mass M is suspended by a massless string of length L. The horizontal velocity at position A is just sufficient to make it reach the point B. The angle at which the speed of the bob is half of that at A, satisfies

physics-General
Velocity of the bob at the point A
(i)
physics-
A piece of wire is bent in the shape of a parabola -axis vertical) with a bead of mass on it. The bead can side on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the -axis with a constant acceleration . The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the -axis is

A piece of wire is bent in the shape of a parabola -axis vertical) with a bead of mass on it. The bead can side on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the -axis with a constant acceleration . The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the -axis is

physics-General
physics-
A given ray of light suffers minimum deviation in an equilateral prism P. Additional prisms Q and R of identical shape and material are now added to P as shown in the figure. The ray will suffer

As the prisms Q and R are of the same material and have identical shape they combine to form a slab with parallel faces. Such a slab does not cause any deviation.
A given ray of light suffers minimum deviation in an equilateral prism P. Additional prisms Q and R of identical shape and material are now added to P as shown in the figure. The ray will suffer

physics-General
As the prisms Q and R are of the same material and have identical shape they combine to form a slab with parallel faces. Such a slab does not cause any deviation.
physics-
A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out length
where
is in metre and t is in second. The radius of the path is 20 m. The acceleration of P when t =2s is nearly

A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out length
where
is in metre and t is in second. The radius of the path is 20 m. The acceleration of P when t =2s is nearly

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physics-
In the given figure, what is the angle of prism

Angle of prism is the angle between incident and emergent surfaces.
In the given figure, what is the angle of prism

physics-General
Angle of prism is the angle between incident and emergent surfaces.
physics-
A ray of light is incident on an equilateral glass prism placed on a horizontal table. For minimum deviation which of the following is true

In minimum deviation position refracted ray inside the prism is parallel to the base of the prism
A ray of light is incident on an equilateral glass prism placed on a horizontal table. For minimum deviation which of the following is true

physics-General
In minimum deviation position refracted ray inside the prism is parallel to the base of the prism
maths-
The equation of the plane containing the line
where al + bm + cn is equal to
Since these two lines are intersecting so shortest distance between the lines will be 0.
Hence (c) is the correct answer.
Hence (c) is the correct answer.
The equation of the plane containing the line
where al + bm + cn is equal to
maths-General
Since these two lines are intersecting so shortest distance between the lines will be 0.
Hence (c) is the correct answer.
Hence (c) is the correct answer.