Two circles of radii `aa n db` touching each other externally, are inscribed in the area bounded by `y=sqrt(1-x^2)` and the x-axis. If `b=1/2,` then `a` is equal to `1/4` (b) `1/8` (c) `1/2` (d) `1/(sqrt(2))`

The area bounded by y = sin^(-1)x,x=(1)/(sqrt(2)) and X-axis is

If a differential equation is given by dy/dx=2(x+1) and area bounded by y(x) with x-axis is (4*sqrt8)/3 then y(1) is

The area bounded by the curve y=secx , the x-axis and the lines x=0 and x=pi/4 is (A) log(sqrt(2)+1) (B) log(sqrt(2)-1) (C) 1/2log2 (D) sqrt(2)

The area bounded by y=|e^|x|-e^(-x)| , the x-axis and x=1 is (A) int_0^1 (e^x-e^(-x))dx (B) e+e^(-1)-2 (C) e+e^(-1)+2 (D) (sqrt(e)-1/sqrt(e))^2

The area bounded by y=sqrt(1-x^(2)) and y=x^(3)-x is divided by y - axis in the ratio lambda:1(AA lambda gt 1) , then lambda is equal to

Two circles of radii r_(1) and r_(2)(r_(1)>r_(2)) touch each other exterally.Then the radius of circle which touches both of them externally and also their direct common tangent is (A) ( sqrtr_(1)+sqrt(r)_(2))^(2) (B) sqrt(r_(1)r_(2))(C)(r_(1)+r_(2))/(2) (D) (r_(1)-r_(2))/(2)

If sqrt(y)=4x, then (x^(2))/(y) is (a) 2 (b) (1)/(16) (c) (1)/(4) (d) 4

The area bounded by the curves y=|x|-1 and y=-|x|+1 is a.1b.2c2sqrt(2)d.4