Home
Class 12
MATHS
Normal at the point P(a p^2,2a p) meets ...

Normal at the point `P(a p^2,2a p)` meets the parabola `y^2=4a x` again at `Q(a q^2,2a q)` such that the lines joining the origin to `Pa n dQ` are at right angle. Then, `P^2=2` (b) `q^2=2` `p=2q` (d) `q=2p`

A

`p^(2)=2`

B

`q^(2)=2`

C

p = 2q

D

q = 2p

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The normal at the point P(ap^2, 2ap) meets the parabola y^2= 4ax again at Q(aq^2, 2aq) such that the lines joining the origin to P and Q are at right angle. Then (A) p^2=2 (B) q^2=2 (C) p=2q (D) q=2p

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

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

If normal to parabola y^(2)=4ax at point P(at^(2),2at) intersects the parabola again at Q, such that sum of ordinates of the points P and Q is 3, then find the length of latus ectum in terms of t.

If normal at point P on the parabola y^2=4a x ,(a >0), meets it again at Q in such a way that O Q is of minimum length, where O is the vertex of parabola, then O P Q is (a)a right angled triangle (b)an obtuse angled triangle (c)an acute angle triangle (d)none of these

The ordinates of points P and Q on the parabola y^2=12x are in the ration 1:2 . Find the locus of the point of intersection of the normals to the parabola at P and Q.

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

A tangent to the parabola x^(2) = 4ay meets the hyperbola x^(2) - y^(2) = a^(2) in two points P and Q, then mid point of P and Q lies on the curve

The coordinates of the point P are (-3,\ 2) . Find the coordinates of the point Q which lies on the line joining P and origin such that O P=O Q .