If the two circles `2x^2+2y^2-3x+6y+k=0` and `x^2+y^2-4x+10 y+16=0` cut orthogonally, then find the value of `k` .

If 4x^(2)+ py^(2) =45 and x^(2)-4y^(2) =5 cut orthogonally, then the value of p is

If the circle x^2+y^2=1 is completely contained in the circle x^2+y^2+4x+3y+k=0 , then find the values of kdot

If the circles x^2+y^2+2x+2ky+6=0 and x^2+y^2+2ky+k=0 intersect orthogonally then k equals (A) 2 or -3/2 (B) -2 or -3/2 (C) 2 or 3/2 (D) -2 or 3/2

The two curves x^3-3xy^2+2=0 and 3x^2y-y^3-2=0 cuts orthogonally

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of mdot

A circle passes through the origin and has its center on y=x If it cuts x^2+y^2-4x-6y+10=- orthogonally, then find the equation of the circle.

Find the angle at which the circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect.

If the lines 2x + y - 3 = 0 , 5x + ky - 3 = 0 " and " 3x - y - 2 = 0 are concurrent , find the value of k.

If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at Aa n dB , then find the equation of the circle on A B as diameter.

If 2 x-3 y=0 is the equation of the common chord of the circles, x^2+y^2+4 x=0 and x^2+y^2+2 lambda y=0 , then the value of lambda is