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)
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
Area bounded by the curves y = ex, y = e- x and the straight line x = 1 is (in sq units)
C.
Given curves are y = ex and y = e- x
The point of intersection is
e- x = ex
x = 0
Then, y = 1
So, the point of intersection is (0, 1).
Area of bounded region ABC