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

Find the locus of the centres of the circle which cut the circles x^2+y^2+4x-6y+9=0 and x^2+y^2-5x+4y-2=0 orthogonally

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 .

The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0 at the origin intersect at an angle theta equal to pi/6 (b) pi/4 (c) pi/3 (d) pi/2

The two curves x=y^2,x y=a^3 cut orthogonally at a point. Then a^2 is equal to 1/3 (b) 3 (c) 2 (d) 1/2

The two curves x=y^2,x y=a^3 cut orthogonally at a point. Then a^2 is equal to 1/3 (b) 3 (c) 2 (d) 1/2

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 curves 2x^(2) + 3y^(2) = 1 and cx^(2) + 4y^(2) = 1 cut each other orthogonally then the value of c is:

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

Equation of the circle which cuts the circle x^2+y^2+2x+ 4y -4=0 and the lines xy -2x -y+2=0 orthogonally, is

Show that the two curves x^(2)-y^(2)=r^(2) and xy=c^(2) where c,r are constants, cut orthogonally.