Two ends of latus rectum are given then the maximum number of parabolas that can be drawn equal area. 0b. 1c. 2d. infinite
It is 2.
The maximum number of parabola that we can draw at the same time from the given extremities of Latus rectum is 2.
The length of the common chord of the parabola y2 =x and x2 =y is
a. 1
b. √2
c. 2
d. 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