Q. The length of the common chord of the parabolas $y^{2} = x$ and $x^{2} = y$ and is
A) $2\sqrt{2}$
B) 1
C) $\sqrt{2}$
D) $\frac{1}{\sqrt{2}}$
Explanation
(c)
The point of intersection of given curves are (0, 0) and (1, 1)
$\therefore$ Length of common chord=$\sqrt{1^{2} + 1^{2}} = \sqrt{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.