Question

Let y² = 4ax and x² = 4ay be two parabolas 

Statement-1: The equation of the common tangent to the parabolas is x + y + a = 0 

Statement-2: Both the parabolas are reflected to each other about the line y = x. 

(A) Statement – 1 is True, Statement – 2 is True; Statement – 2 is a correct explanation for Statement – 1. 

(B) Statement – 1 is True, Statement – 2 is True; Statement – 2 is NOT a correct explanation for Statement – 1. 

(C) Statement – 1 is True, Statement – 2 is False. 

(D) Statement – 1 is False, Statement – 2 is True. 

Answer 1

Correct option: (b)

Explanation:

Because the common tangent has to be perpendicular to y = x. Its slope is -1.