The length of the common chord of the parabola y2 =x and x2 =y isa. 1b. √2c. 2d. 1/2
The correct option is b.
Here,
The equations of given parabola are,
y2 = x ..................(i)
and x2 = y ..................(ii)
On solving eqs. (i) and (ii), we get,
x = 0, 1
and y = 0, 1
Since the points of intersection are (0, 0) and (1, 1).
Hence, length of common chord = (12+12)= 2
