The circle `x^2+y^2-4x-4y+4=0` is inscribed in a triangle which has two of its sides along the coordinate axes. The locus of the circumcenter of the triangle is `x+y-x y+k(x^2+y^2)^(1/2)=0` . Find `kdot`

The circle x^2 + y^2 - 3x - 4y + 2 = 0 cuts the x axis at the points

The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordinate axes, and the point (1, 4) is inside the circle. Find the range of value of kdot

The circle x^2+y^2-4x-4y+4=0 is inscribed in a variable triangle O A Bdot Sides O A and O B lie along the x- and y-axis, respectively, where O is the origin. Find the locus of the midpoint of side A Bdot

The straight lines 3x+y-4=0,x+3y-4=0 and x+y-4=0 form a triangle which is :

The equations of the sides of a triangle are x+y-5=0, x-y+1=0, and y-1=0. Then the coordinates of the circumcenter are

The length of the common chord of the two circles x^2+y^2-4y=0 and x^2+y^2-8x-4y+11=0 is

Find the locus of the circumcenter of a triangle whose two sides are along the coordinate axes and the third side passes through the point of intersection of the line a x+b y+c=0 and l x+m y+n=0.

Let P be any moving point on the circle x^2+y^2-2x=1. A B be the chord of contact of this point w.r.t. the circle x^2+y^2-2x=0 . The locus of the circumcenter of triangle C A B(C being the center of the circle) is 2x^2+2y^2-4x+1=0 x^2+y^2-4x+2=0 x^2+y^2-4x+1=0 2x^2+2y^2-4x+3=0

Let P be any moving point on the circle x^2+y^2-2x=1. A B be the chord of contact of this point w.r.t. the circle x^2+y^2-2x=0 . The locus of the circumcenter of triangle C A B(C being the center of the circle) is 2x^2+2y^2-4x+1=0 x^2+y^2-4x+2=0 x^2+y^2-4x+1=0 2x^2+2y^2-4x+3=0