A circle with centre in the first quadrant is tangent to y=x+10,y=x-6 and the y-axis let (h,k) be the centre of the circle. If the value of `(h+k)=a+bsqrta`,where (a,bbelongs to Q)` find the value of (a+b-2)

A circle with center in the first quadrant is tangent to y=x+10,y=x-6 and the Y-axis. Let (p,q) be the centre of the circle. If the value oif (p+q)=a+bsqrta when a, binQ , then the value of |a-b| is

A circle with center in the first quadrant is tangent to y = x+10, y = x - 6 , and the y- a x is . Let (h, k) be the center of the circle. If the value of (h + k) = a + b sqrta where sqrta is a surd, find the value of a +b .

A circle having its centre in the first quadrant touches the y-axis at the point (0,2) and passes through the point (1,0). Find the equation of the circle

In Figure, O is the centre of the circle. If /_B O D=160^@, find the values of x\ a n d\ y

The sides of a triangle ABC lie on the lines 3x + 4y = 0, 4x +3y =0 and x =3 . Let (h, k) be the centre of the circle inscribed in triangleABC . The value of (h+ k) equals

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 .

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

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

Find the area enclosed between first quadrant of a circle x^2 + y^2 = 16 and line y=x.

The line 2x - y + 1 = 0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y = 4. The radius of the circle is :