The value of theta in [0, 2pi] so that c...

The value of `theta` in `[0, 2pi]` so that circle `x^(2)+y^(2)+2 (sin alpha)x+2(cos alpha)y+sin^(2)theta=0` always lies inside the square of unit side length, is/are

Similar Questions

Explore conceptually related problems

The value of alpha in [0,2pi] so that x^(2)+y^(2)+2sqrt(sin alpha )x+(cos alpha-1)=0 having intercept on x-axis always greater than 2, is/are

Radius of the circle x^(2)+y^(2)+2x cos theta+2y sin theta-8=0, is

The square of the intercept made by the circle x^(2)+y^(2)+2hx cos theta+2ky sin theta-h^(2)sin^(2)theta=0 on the x- axis is

The line x cos alpha+y sin alpha=p touches the circle x^(2)+y^(2)-2ax cos alpha-2ay sin alpha=0. then p=

The angle between the pair of lines (x^(2)+y^(2))sin^(2)alpha=(x cos theta-y sin theta)^(2);is

The line x cos alpha+y sin alpha=p will be a tangent to the circle x^(2)+y^(2)-2ax cos alpha-2ay sin alpha=0.1fp=

The straight line x cos theta+y sin theta=2 will touch the circle x^(2)+y^(2)-2x=0, if