The point of intersection of the normals to the parabola y2 = 4x at the ends of its latus rectum is :

Question

The point of intersection of the normals to the parabola y2 = 4x at the ends of its latus rectum is : (A) (0,2) (B) (3,0) (C) (0,3) (D) (2,0)

Tardigrade Admin · Accepted Answer

We know that point of intersection of the normal to the parabola y2 = 4ax at the ends of its latus rectum is (3 a, 0) Hence required point of intersection = (3,0)

Q. The point of intersection of the normals to the parabola $y^{2} = 4 x$ at the ends of its latus rectum is :

$(0, 2)$

$(3, 0)$

$(0, 3)$

$(2, 0)$

We know that point of intersection of the normal to the parabola $y^{2} = 4 a x$ at the ends of its latus rectum is $(3 a, 0)$
Hence required point of intersection $= (3, 0)$

Q. The point of intersection of the normals to the parabola y2=4x at the ends of its latus rectum is :

(0,2)

(3,0)

(0,3)

(2,0)