Question

The area (in sq units) of the region described by {(x, y) : y² ≤ 2x and y ≥ 4x - 1} is

(a) 7/32

(b) 5/(64)

(c) 15/64

(d) 9/32

Answer 1

Correct option (d) 9/32

Explanation:

Given region is  {(x, y) : y² ≤ 2x and y ≥ 4x - 1}

y² ≤ 2x represents a region inside the parabola 

y² = 2x .......(i)

and y ≥ 4x - 1 represents a region to the left of the line

y = 4x - 1 ............(ii)

The point of intersection of the curve (i) and (ii) is

The points where these curves intersect are