Question

Statement-1 : If x + y = k is a normal to the parabola y² = 12x, then k is 9. 

Statement-2 : Equation of normal to the parabola y² = 4ax is y – mx + 2am + am³ = 0 

(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: (a)

Explanation:

For the parabola y² = 12x, equation of a normal with slope -1 is 

y = -x -2. 3(-1) -3 (-1)3 

⇒ x + y = 9, ⇒ k = 9