Two circles `x^(2) + y^(2) + ax + ay - 7 = 0` and `x^(2) + y^(2) - 10x + 2ay + 1 = 0` will cut orthogonally if the value of a is

For the circles x^(2) + y^(2) - 2x + 3y + k = 0 and x^(2) + y^(2) + 8x - 6y - 7 = 0 to cut each other orthogonally the value of k must be

For the circles x^2 + y^2 - 2x + 3y + k = 0 and x^2 + y^2 + 8x - 6y - 7 = 0 to cut each other orthogonally the value of k must be

If the two circles 2x^(2) +2y^(2) -3x+6y+k=0 and x^(2) +y^(2) -4x +10y +16=0 cut orthogonally, then the vlaue of k is-

If the circles x ^(2) + y ^(2) + 5x -6y-1=0 and x ^(2) + y^(2) +ax -y +1=0 intersect orthogonally (the tangents at the point of intersection of the circles are at right angles), the value of a is

If the circles x^(2)+y^(2)-2 x-2 y-7=0 and x^(2)+y^(2)+4 x+2 y+k=0 cut orthogonally, then the length of the common chord of the circles is

If the curves ay + x^(2) =7 and x^(3) =y cut orthogonally at (1,1) then the value of a is

For what value of k is the circle x^2 + y^2 + 5x + 3y + 7 = 0 and x^2 + y^2 - 8x + 6y + k = 0 cut each other orthogonally.

If the curve ay + x^(2) =7 and x^(3) = y , cut orthogonally at (1,1), then the value of 'a' is