Home
Class 12
MATHS
The normal drawn at a point (at(1)^(2),2...

The normal drawn at a point `(at_(1)^(2),2at_(1))` of the parabola `y^(2) = 4ax` meets it again the point `(at_(2)^(2),2at_(2))` then :

A

`t_(1)=2t_(2)`

B

`t_(1)^(2)=2t^_(2)`

C

`t_(1)t_(2)=-1`

D

`t_(1)^2+t_(1)t_(2)+2=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The focus of the parabola y^2= 4ax is :

The normal at the point (bt_1^2, 2bt_1) on a parabola meets the parabola again in the point (bt_2^2, 2bt_2) then :

The directrix of the parabola y^2=4ax is :

Angle between tangents drawn from the point (1, 4) to the parabola y^2 = 4ax is :

Find the equations of the tangent and normal to the parabola y^(2)=4ax at the point (at^(2),2at) .

Normals at two points (x_1y_1)a n d(x_2, y_2) of the parabola y^2=4x meet again on the parabola, where x_1+x_2=4. Then |y_1+y_2| is equal to

The normal at the point (1,1) on the curve 2y + x^2 = 3 is: