Length of common chord of the parabolas x2=4 y and y2=4 x is

Question

Length of common chord of the parabolas x2=4 y and y2=4 x is (A) 4 (B) 4 √3 (C)  4 √2 (D) 2

Tardigrade Admin · Accepted Answer

Points of intersection of x2=4 y and y2=4 x are (0,0) and (4,4) ⇒ Length of common chord =4 √2

Q. Length of common chord of the parabolas $x^{2} = 4 y$ and $y^{2} = 4 x$ is