Question

Statement - 1

Let f : [0, ∞) →[0, ∞) be a function defined by y = f(x) = x² , then (d²y/dx²)(d²x/dy²) =1.

Statement - 2

d²y/dx² =- d²x/dy² . (dy/dx)³

(A) STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is correct explanation for STATEMENT-1 

(B) STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is not correct explanation for STATEMENT-1 

(C) STATEMENT-1 is true, STATEMENT-2 is false 

(D) STATEMENT-1 is false, STATEMENT-2 is true 

(E) Both STATEMENTS are false

Answer 1

Correct Option:- (D)

Explanation :-