Home
Class 12
MATHS
If the normal at two points of the parab...

If the normal at two points of the parabola `y^2 = 4ax`, meet on the parabola and make angles `alpha and beta` with the positive directions of x-axis, then `tanalpha tanbeta =` (A) `-1` (B) `-2` (C) `2` (D) `a`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The equation of a tangent to the parabola, x^(2) = 8y , which makes an angle theta with the positive direction of x-axis, is:

If the normal at (1,2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2),2t) then the value of t is

The normal to the parabola y^(2)=8ax at the point (2, 4) meets the parabola again at the point

The normal to the parabola y^(2)=8x at the point (2, 4) meets the parabola again at eh point

If alpha,beta,gamma are the angle which a half ray makes with the positive direction of the axes then sin^2alpha+sin^2beta+sin^2gamma= (A) 1 (B) 2 (C) 0 (D) -1

If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2), 2t) then the value of t, is

The normals at the extremities of a chord PQ of the parabola y^2 = 4ax meet on the parabola, then locus of the middle point of PQ is

At the point of intersection of the curves y^2=4ax" and "xy=c^2 , the tangents to the two curves make angles alpha" and "beta respectively with x-axis. Then tan alpha cot beta=

If the normal to the parabola y^2=4ax at the point (at^2, 2at) cuts the parabola again at (aT^2, 2aT) then

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are