The centre of the circle inscribed in a square formed by the lines ` x^(2) - 8x+12 = 0` and ` y^(2) - 14 + 45 = 0` is

The equation of the diagonal of the square formed by the pairs of lines xy +4x - 3y - 12 = 0 and xy - 3x +4 y - 12 = 0 is

Find all the values of theta for which the point (sin^2theta,sintheta) lies inside the square formed by the line x y=0 and 4x y-2x-2y+1=0.

The centre of the smallest circle touching the circles x^2+ y^2-2y -3=0 and x^2 +y^ 2-8x -18y +93= 0 is:

Solve the equation : x^4 - 14x^2 + 45 = 0

Area lying in the first quadrant and bounded by the circle x^(2) + y^(2) = 4 and the lines x = 0 and x = 2 is

The centre of the ellipse 8x^2 + 6y^2 - 16x + 12y + 13 = 0

The distance between the parallel lines 5x - 12y - 14 = 0 and 5x - 12y + 12 = 0 is equal to