The circle `x^2+y^2=1` cuts the x-axis at `Pa n dQdot` Another circle with center at `Q` and variable radius intersects the first circle at `R` above the x-axis and the line segment PQ at S. Find the maximum area of triangle QSR.

The circle x^(2)+y^(2)=1 cuts the x -axis at P and Q. Another circle with center at Q and variable radius intersects the first circle at R above the x-axis and the line segment PQ at S. Find the maximum area of triangle QSR.

Let A and B be points on the x-axis which are intercepts of circle x^2+y^2=1 , another circles with centre at B and variable radius intersects the first circle at C above the x-axis and the line segment AB at D. Find the maximum area of triangleBCD .

A circle touches the x -axis and also touches the circle with center (0,3) and radius 2. The locus of the center

If one of the diameters of the circle x^(2)+y^(2)-2x-6y+6=0 is a chord to the circle with center (2,1) ,then the radius of the circle is

A circle C_(1), of radius 2 touches both x -axis and y -axis.Another circle C_(1) whose radius is greater than 2 touches circle and both the axes.Then the radius of circle is

Find the area of the region in the first quadrant enclosed by the x-axis, the line y=x and the circle x^2+y^2=32 .

Find the locus of center of circle of radius 2 units,if intercept cut on the x-axis is twice of intercept cut on the y-axis by the circle.

Area of the region in the first quadrant exclosed by the X-axis, the line y=x and the circle x^(2)+y^(2)=32 is