[" Q."18" The area of th "],[" i) "(pi)/(2)-(2)/(3)],[" 2) "0quad (pi)/(2)+(2)/(3)],[" 3) "quad (pi)/(2)+(4)/(3)]

The argument of the complex number ((i)/(2) - (2)/(i)) is equal to a) (pi)/(4) b) (3 pi)/(4) c) (pi)/(12) d) (pi)/(2)

If the distance between the centers of two circles of unit radii is 1 the common area of the circles is 1) (2 pi)/(3)-sqrt(3) 2) (2 pi)/(3)+sqrt(3) 3) (2 pi)/(3)-(sqrt(3))/(2) 4) (2 pi)/(3)(sqrt(3))/(3)

1+sinx + sin^2(x) + .... = 4+2sqrt3, 0ltxltpi, x!=pi, then x = 1) (pi)/(3), (pi)/(4) 2) (pi)/(4), (pi)/(6) 3) (2 pi)/(5), (pi)/(6) 4) (pi)/(3), (2 pi)/(3)

The argument of the complex number (i/2-2/i) is equal to (a) pi/2 (b) pi/4 (c) pi/12 (d) (3pi)/4

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 range of f(x)=cot^(-1)(log_(1/2)(x^(4)-2x^(2)+3)) is ( (pi)/(2) (3 pi)/(4) 0 (3 pi)/(4) pi) (0 (3 pi)/(4)

If 4cos^(2)theta=3 then theta =---- 1) (pi)/(6),(5 pi)/(6) 2) (pi)/(4),(3 pi)/(4) 3) (pi)/(3),(2 pi)/(3) 4) +-(pi)/(2)

The possible values of theta in (0, pi) such that sin (theta) + sin (4 theta) + sin (7 theta) = 0 are (1) (2 pi) / (9), (i) / (4 ), (4 pi) / (9), (pi) / (2), (3 pi) / (4), (8 pi) / (9) (2) (pi) / (4), (5 pi ) / (12), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (8 pi) / (9) (3) (2 pi) / (9 pi) ), (pi) / (4), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (35 pi) / (36) (4) (2 pi ) / (9), (pi) / (4), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (8 pi) / (9)

If I_(n)=int_(0)^( pi/2)x^(n)sin xdx, then {I_(4)+12I_(2)} is equal to (i) 3 pi( ii) 3((pi)/(2))^(3)( iii) ((pi)/(2))^(2) (iv) 4((pi)/(2))^(3)

Draw the polar coordinates (2, (pi)/(3)), (-2,(pi)/(3)), (-2,-(pi)/(3)) and (2, -(pi)/(3)) on the plane.