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[" (ii) "ax-ay=2],[qquad (a-1)x+(a+1)y=2...

[" (ii) "ax-ay=2],[qquad (a-1)x+(a+1)y=2(a^(2)+1)]

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ax-ay=2;(a-1)x+(a+1)y=2(a^(2)+1)

ax+by=1 bx+ay=2

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

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

{:(ax + by = 1),(bx + ay = ((a + b)^(2))/(a^(2) + b^(2))-1):}

{:(ax + by = 1),(bx + ay = ((a + b)^(2))/(a^(2) + b^(2))-1):}

Solve for x and y: ax+by=1" and "bx+ay=(2ab)/(a^(2)+b^(2)) .