Question

The curve ay² = x²(3a – x) cuts the y – axis at …

(a) x = – 3a, x = 0

(b) x = 0, x = 3a 

(c) x = 0, x = a 

(d) x = 0

Answer 1

(d) x = 0

Given ay² = x²(3a – x) 

The point of intersection with y-axis by putting x = 0

In (1) = ay² = 0 (3a – 0) 

ay = 0 ; y = 0 

∴ The curve intersects y-axis at the origin is x = 0