Home
Class 12
MATHS
Let the tangent and normal at any point ...

Let the tangent and normal at any point `P (a t^(2), 2a t), (a gt 0)`, on the parabola `y^(2)= 4ax` meet the axis of the parabola at T and G respectively. Then the radius of the circle through P, T and G is

A

`a(1+ t^(2))`

B

`(1+ t^(2))`

C

`a(1- t^(2))`

D

`(1- t^(2))`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The tangent and normal at P(t), for all real positive t, to the parabola y^(2)=4ax meet the axis of the parabola in T and G respectively, then the angle at which the tangent at P to the parabola is inclined to the tangent at P to the circle passing through the points P, Tand G 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 at a point P on the parabola y^^2= 4ax meets the X axis in G.Show that P and G are equidistant from focus.

A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2)=-4ax P and Q. The locus of the mid-point of PQ, is

Tangent and normal at any point P of the parabola y^(2)=4ax(a gt 0) meet the x-axis at T and N respectively. If the lengths of sub-tangent and sub-normal at this point are equal, then the area of DeltaPTN is given by

For the parabola y^(2)=8x tangent and normal are drawn at P(2.4) which meet the axis of the parabola in A and B .Then the length of the diameter of the circle through A,P,B is