The area of the smaller portion intercepted between curves `x^2+y^2=8` and `y^2=2x` is
a) `pi+2/3`
b) `2pi+2/3`
c) `2pi+4/3`
d) `pi+4/3`

The angle of intersection of the curves y=2\ s in^2x and y=cos2\ x at x=pi/6 is pi//4 (b) pi//2 (c) pi//3 (d) pi//6

the area of the region described by A={x,y]=x^(2)+y^(2)<= and y^(2)<=1-x} is (a) (pi)/(2)-(2)/(3) (b) (pi)/(2)+(2)/(3)(cc)(pi)/(2)+(4)/(3)(d)(pi)/(2)-(4)/(3)

The angle between the planes 2x-y+z=6 and x+y+2z=7 is (A) pi/4 (B) pi/6 (C) pi/3 (D) pi/2

Area enclosed between the curves |y|=1-x^(2) and x^(2)+y^(2)=1 is (3 pi-8)/(3) (b) (pi-8)/(3)(2 pi-8)/(3) (d) None of these

Smaller area enclosed by the circle x^2+y^2=4 and the line x" "+" "y" "=" "2 is (A) 2(pi""-2) (B) pi-2 (C) 2pi-1 (D) 2(pi+2)

The angle between the plane 2x-y+z=6 nand x+y+2z=3 is (A) pi/3 (B) cos^-1 1/6 (C) pi/4 (D) pi/6

Area lying in the first quadrant and bounded by the circle x^2+y^2=4 and the lines x=" "0" "a n dx=" "2 is (A) pi (B) pi/2 (C) pi/3 (D) pi/4

Then angle of intersection of the normal at the point (-(5)/(sqrt(2)),(3)/(sqrt(2))) of the curves x^(2)-y^(2)=8 and 9x^(2)+25y^(2)=225 is 0 (b) (pi)/(2) (c) (pi)/(3) (d) (pi)/(4)

The area of the region described by A={(x,y):x^(2)+y^(2)<=1 and y^(2)<=1-x} is (A) (pi)/(2)+(4)/(3)(B)(pi)/(2)-(4)/(3)(C)(pi)/(2)-(2)/(3)(D)(pi)/(2)+(2)/(3)