Question

The point of intersection of the tangents to the parabola $y^2=4x$ at the points where parameter 't' has value 3 and 5.

• A. (10, 6)
• B. (4, 9)
• C. (15, 8)
• D. (15, 10)

Answer 1

The correct option is C

(15, 8)

If we take the tangent equations at given points and solve them we get the point of intersection. Its better if we memorize this point given by,

P $\equiv (a{t}_1{t}_2,a(t_1+t_2\left)\right)$

Here $t_1=3;t_2=5;a=1$

$\therefore P\equiv (15,8)$