The figure shows a triangle AOB and the parabola y = x2. The ratio of the area of the triangle AOB to the area of the region AOB of the parabola y = x is equal to
The area of the plane region bounded by the curve x = y2 - 2 and the· line y = - x is (in square units)
The area bounded by y = x + 2, y = 2 - x and the x-axis is (in square units)
1
2
4
6
C.
4
Given lines are y = x + 2, y = 2 - x
The intersection point is
Required shaded region = Area of shaded region AOB + Area of shaded region BOC
Area bounded by the curve y = log (x - 2), x-axis and x = 4 is equal to
2log(2) + 1
log(2) - 1
log(2) + 1
2log(2) - 1