The area bounded by the y-axis, `y = cos x`and `y = s in x`when `0lt=xlt=pi/2`is(A) `2(sqrt(2-1))` (B) `sqrt(2)-1` (C) `sqrt(2)+1` (D) `sqrt(2)`

The area of the figure bounded by the curves y=cosx and y=sinx and the ordinates x=0 and x=pi/4 is (A) sqrt(2)-1 (B) sqrt(2)+1 (C) 1/sqrt(2)(sqrt(2)-1) (D) 1/sqrt(2)

The area of the region bounded by the lines x=0, x=pi/2 and f(x)=sinx, g(x)=cosx is (A) 2(sqrt(2)+1) (B) sqrt(3)-1 (C) 2(sqrt(3)-1) (D) 2(sqrt(2)-1)

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 enclosed by the curve y=sin x+cos x and y=|cos x-sin x| over the interval [0,(pi)/(2)] is 4(sqrt(2)-2) (b) 2sqrt(2)(sqrt(2)-1)2(sqrt(2)+1)(d)2sqrt(2)(sqrt(2)+1)

The area enclosed by the curves y=sin x+cos x and y=|cos x-sin x| over the interval [0,(pi)/(2)] is (a) 4(sqrt(2)-1) (b) 2sqrt(2)(sqrt(2)-1)(c)2(sqrt(2)+1)(d)2sqrt(2)(sqrt(2)+1)

The area formed by triangular shaped region bounded by the curves y=sinx, y=cosx and x=0 is (A) sqrt(2)-1 (B) 1 (C) sqrt(2) (D) 1+sqrt(2)

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

The area bounded by the curves x^(2)+y^(2)=4 , |y|=sqrt(3)x and y - axis, is

In a triangle A B C , a line X Y is drawn parallel to B C meeting A B in X and A C in Y . The area of the triangle A X Y is half of the area of the triangle A B C . X Y divides A B in the ratio of 1 :sqrt(2) (b) sqrt(2) :(sqrt(2)-1) (c) 1 :(sqrt(2)-1) (d) sqrt(2) :sqrt(3)