The number of points `P(x , y)` lying inside or on the circle `x^2+y^2=9` and satisfying the equation `tan^4x+cot^4x+2=4sin^2y` is______

The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(2)+y^(2)-6x-8y=24 is

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

If y=4x+c is a tangent to the circle x^(2)+y^(2)=9 , find c.

Find the number of common tangent to the circles x^2+y^2+2x+8y-23=0 and x^2+y^2-4x-10 y+9=0

Find the area of the circle 4x^(2) + 4y^(2) = 9 which is interior of the parabola x^(2) = 4y .

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

The number of ordered pair (x, y) satisfying the equation sin^(2) (x+y)+cos^(2) (x-y)=1 which lie on the circle x^(2)+y^(2)=pi^(2) is _________.

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

Area lying between the curves y^(2) = 4x and y = 2x is