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Question

If P (a cos $theta$ , bsin $theta$ ) is a point on an ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1$ , then ' $theta$ ' is –

Angle of OP line from positive direction of x-axis (O is origin)
Angle of OQ line from positive direction of x-axis [when Q is (a cos $θ$ , a sin $θ$ )]
It depends on the point p
None of the above

The correct answer is: Angle of OQ line from positive direction of x-axis [when Q is (a cos $theta$ , a sin $theta$ )]

Related Questions to study

If the normal at the point P( $theta$ ) to the ellipse $fraction numerator x to the power of 2 end exponent over denominator 14 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 5 end fraction equals 1$ intersects it again at the point Q(2 $theta$ ) then cos $theta$ =

If the normal at the point P( $theta$ ) to the ellipse $fraction numerator x to the power of 2 end exponent over denominator 14 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 5 end fraction equals 1$ intersects it again at the point Q(2 $theta$ ) then cos $theta$ =

If a tangent to ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction blank$ + $fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction$ = 1 makes an angle $alpha$ with x- axis, then square of length of intercept of tangent cut between axes is-

If a tangent to ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction blank$ + $fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction$ = 1 makes an angle $alpha$ with x- axis, then square of length of intercept of tangent cut between axes is-

Vibrating tuning fork of frequency $n$ is placed near the open end of a long cylindrical tube. The tube has a side opening and is fitted with a movable reflecting piston. As the piston is moved through $8.75 blank c m comma$ the intensity of sound changes from a maximum to minimum. If the speed of sound is $350 blank m divided by s.$ then $n$ is

Vibrating tuning fork of frequency $n$ is placed near the open end of a long cylindrical tube. The tube has a side opening and is fitted with a movable reflecting piston. As the piston is moved through $8.75 blank c m comma$ the intensity of sound changes from a maximum to minimum. If the speed of sound is $350 blank m divided by s.$ then $n$ is

physics-General

parallel

PQ and QR are two focal chords of an ellipse and the eccentric angles of P,Q,R and
$2 alpha$ , $2 beta comma blank 2 gamma$ respectively then tan $beta$ tan $gamma$ is equal to -

PQ and QR are two focal chords of an ellipse and the eccentric angles of P,Q,R and
$2 alpha$ , $2 beta comma blank 2 gamma$ respectively then tan $beta$ tan $gamma$ is equal to -

The radius of the circle passing through the points of intersection of ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction$ = 1 and x²– y² = 0 is -

The radius of the circle passing through the points of intersection of ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction$ = 1 and x²– y² = 0 is -

If $alpha comma beta$ are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is -

If $alpha comma beta$ are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is -

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If $ϕ$ is the angle between the diameter through any point on a standard ellipse and the normal at the point, then the greatest value of tan $ϕ$ is–

If $ϕ$ is the angle between the diameter through any point on a standard ellipse and the normal at the point, then the greatest value of tan $ϕ$ is–

A radar operates at wavelength 50.0 cm. If the beat freqency between the transmitted singal and the singal reflected from aircraft ( $capital delta$ $v$ ) is 1 kHz, then velocity of the aircraft will be

A radar operates at wavelength 50.0 cm. If the beat freqency between the transmitted singal and the singal reflected from aircraft ( $capital delta$ $v$ ) is 1 kHz, then velocity of the aircraft will be

physics-General

The locus of P such that PA² + PB² = 10 where A = (2, 0) and B = (4, 0) is

The locus of P such that PA² + PB² = 10 where A = (2, 0) and B = (4, 0) is

parallel

Let L = 0 is a tangent to ellipse $fraction numerator left parenthesis x minus 1 right parenthesis to the power of 2 end exponent over denominator 9 end fraction$ + $fraction numerator left parenthesis y minus 2 right parenthesis to the power of 2 end exponent over denominator 4 end fraction$ = 1 and S, $straight S to the power of straight prime$ be its foci. If length of perpendicular from S on L = 0 is 2 then length of perpendicular from $straight S to the power of straight prime$ on L = 0 is

Let L = 0 is a tangent to ellipse $fraction numerator left parenthesis x minus 1 right parenthesis to the power of 2 end exponent over denominator 9 end fraction$ + $fraction numerator left parenthesis y minus 2 right parenthesis to the power of 2 end exponent over denominator 4 end fraction$ = 1 and S, $straight S to the power of straight prime$ be its foci. If length of perpendicular from S on L = 0 is 2 then length of perpendicular from $straight S to the power of straight prime$ on L = 0 is

The condition that the line $ell$ x + my = n may be a normal to the ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction$ + $fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction$ = 1 is

The condition that the line $ell$ x + my = n may be a normal to the ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction$ + $fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction$ = 1 is

Two blocks A and B of equal masses m kg each are connected by a light thread, which passes over a massless pulley as shown in the figure. Both the blocks lie on wedge of mass m kg. Assume friction to be absent everywhere and both the blocks to be always in contact with the wedge. The wedge lying over smooth horizontal surface is pulled towards right with constant acceleration a ( $m divided by s to the power of 2 end exponent$ ). (g is acceleration due to gravity). Normal reaction (in N) acting on block A.

Two blocks A and B of equal masses m kg each are connected by a light thread, which passes over a massless pulley as shown in the figure. Both the blocks lie on wedge of mass m kg. Assume friction to be absent everywhere and both the blocks to be always in contact with the wedge. The wedge lying over smooth horizontal surface is pulled towards right with constant acceleration a ( $m divided by s to the power of 2 end exponent$ ). (g is acceleration due to gravity). Normal reaction (in N) acting on block A.

Physics-General

parallel

Two blocks A and B of equal masses m kg each are connected by a light thread, which passes over a massless pulley as shown in the figure. Both the blocks lie on wedge of mass m kg. Assume friction to be absent everywhere and both the blocks to be always in contact with the wedge. The wedge lying over smooth horizontal surface is pulled towards right with constant acceleration a ( $m divided by s to the power of 2 end exponent$ ). (g is acceleration due to gravity) Normal reaction (in N) acting on block B is

Two blocks A and B of equal masses m kg each are connected by a light thread, which passes over a massless pulley as shown in the figure. Both the blocks lie on wedge of mass m kg. Assume friction to be absent everywhere and both the blocks to be always in contact with the wedge. The wedge lying over smooth horizontal surface is pulled towards right with constant acceleration a ( $m divided by s to the power of 2 end exponent$ ). (g is acceleration due to gravity) Normal reaction (in N) acting on block B is

physics-General

A light inextensible string connects a block of mass m and top of wedge of mass M. The string is parallel to inclined surface and the inclined surface makes an angle $theta$ with horizontal as shown in the figure. All surfaces are smooth. Now a constant horizontal force of minimum magnitude F is applied to wedge towards right such that the normal reaction on block exerted by wedge just becomes zero. The magnitude of acceleration of wedge is

A light inextensible string connects a block of mass m and top of wedge of mass M. The string is parallel to inclined surface and the inclined surface makes an angle $theta$ with horizontal as shown in the figure. All surfaces are smooth. Now a constant horizontal force of minimum magnitude F is applied to wedge towards right such that the normal reaction on block exerted by wedge just becomes zero. The magnitude of acceleration of wedge is

physics-General

The vector $stack x with minus on top$ which is perpendicular to (2,-3,1) and (1,-2,3) and which satisfies the condition $stack x with minus on top times open parentheses stack i with minus on top plus 2 stack j with minus on top minus 7 k close parentheses equals 10$

The vector $stack x with minus on top$ which is perpendicular to (2,-3,1) and (1,-2,3) and which satisfies the condition $stack x with minus on top times open parentheses stack i with minus on top plus 2 stack j with minus on top minus 7 k close parentheses equals 10$

parallel

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