The number of points on the straight line `x+y+2sqrt(2)=0`, which are at a distance of `sin^3 theta + cos^3 theta`, `theta in [0,pi/2]` from origin is
(A) `0`
(B) `1`
(C) `2`
(D) infinite

Number of points on the staight line x+y+2sqrt(2)=0, which are at a distance of sin^(3)theta+cos^(3)theta,theta in[0,pi]

The number of distinct solutions of sin5 theta*cos3 theta*cos7 theta=0 in [0,(pi)/(2)] is :

If 3 cos^(2) theta - 2sqrt(3) sin theta cos theta -3 sin^(2) theta = 0 , then theta =

The angle between the pair of straight lines y^(2)sin^(2)theta-xy sin theta+x^(2)(cos^(2)theta-1)=0 is

The number of solution of the pair of equations 2sin^(2)theta-cos2 theta=0and2cos^(2)theta-3sin theta=0 in the interval [0,2 pi] is 0 (b) 1 (c) 2 (d) 4

If 1+sin theta + sin^(2) theta + ...oo= 4+2sqrt(3), 0 lt theta lt pi and theta != pi/2 , then theta

Locus of point of intersection of the lines x sin theta-y cos theta=0 and ax sec theta-by cos ec theta=a^(2)-b^(2)

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If a+b+3c=0, c != 0 and p and q be the number of real roots of the equation ax^2 + bx + c = 0 belonging to the set (0, 1) and not belonging to set (0, 1) respectively, then locus of the point of intersection of lines x cos theta + y sin theta = p and x sin theta - y cos theta = q , where theta is a parameter is : (A) a circle of radius sqrt(2) (B) a straight line (C) a parabola (D) a circle of radius 2

int _(0)^(pi//2) (2sqrt(cos theta))/(3(sqrt(sin theta )+ sqrt(cos theta ))) d theta is equal to