If the circles of same radius `a` and centers at `(2, 3) and (5, 6)` cut orthogonally, then find `a.`

C_1 and C_2 are circle of unit radius with centers at (0, 0) and (1, 0), respectively, C_3 is a circle of unit radius. It passes through the centers of the circles C_1a n dC_2 and has its center above the x-axis. Find the equation of the common tangent to C_1a n dC_3 which does not pass through C_2dot

The radius of the of circle touching the line 2x + 3y +1 = 0 at (1,-1) and cutting orthogonally the circle having line segment joining (0, 3) and (-2,-1) as diameter is

Show that x^(2) - y^(2) = a^(2) an dxy = c^(2) cut orthogonally

If a circle passes through the point (a, b) and cuts the circle x^2 +y^2=k^2 orthogonally, then the equation of the locus of its center is

Two congruent circles with centered at (2, 3) and (5, 6) which intersect at right angles, have radius equal to (a)2 sqrt(3) (b) 3 (c) 4 (d) (d) none of these

Two congruent circles with centered at (2, 3) and (5, 6) which intersect at right angles, have radius equal to (a)2 sqrt(3) (b) 3 (c) 4 (d) none of these

Find the equation of the circle having center at (2,3) and which touches x+y=1

The ends of diameter of a circle are (2,3) and (6,5) . The centre of the circle is

If the curves a y+x^2=7a n dx^3=y cut orthogonally at (1,1) , then find the value adot

If a circle Passes through a point (1,2) and cut the circle x^2+y^2 = 4 orthogonally,Then the locus of its centre is