The region of 'y' for which `y+cos theta=sin theta` has a real solution is

If x + cos theta = sin theta has a real solution, then

If y + "cos" theta = "sin" theta has a real solution, then

The equation "sin"^(4) theta + "cos"^(4) theta = a has a real solution if

If the equation sin theta(sin theta + 2 cos theta )=a has a real solution then a belongs to the interval

If the equation cos^(4)theta+sin^(4) theta+lambda=0 has real solutions for theta , then lambda lies in the interval :

If the equation "sin" theta ("sin" theta + 2 "cos" theta) = a has a real solution, then the shortest interval containing 'a', is

If 0lt=thetalt=pi and the system of equations x= (sin theta)y+(cos theta)z y=z+( cos theta) x z=(sin theta ) x+y has a non-trivial solution then (8theta)/(pi) is equal to

The locus of the points of intersection of the lines x cos theta+y sin theta=a and x sin theta-y cos theta=b , ( theta= variable) is :

The eliminant of theta from x cos theta - y sin theta = 2 , x sin theta + y cos theta = 4 will give