Question

Statement-1 : The line y = x + 2a touches the parabola y² = 4a(x + a). 

Statement-2 : The line y = mx + c touches y² = 4a(x + a) if c = am + a/m. 

(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:

y = (x + a) + a is of the form 

y = m(x + a) + a/m where m = 1. 

Hence the line touches the parabola.