If the normals at (xi,yi), where, i=1,2,3,4 on the rectangular hyperbo – InterviewSolution

1.	If the normals at (xi,yi), where, i=1,2,3,4 on the rectangular hyperbola xy=c2 meet at (α,β). and x21+x22+x23+x24 is a and y21+y22+y23+y24 is b, then a+b is
Answer» If the normals at $(x_{i}, y_{i}), where, i = 1, 2, 3, 4$ on the rectangular hyperbola $x y = c^{2}$ meet at $(α, β)$ . and $x_{1}^{2} + x_{2}^{2} + x_{3}^{2} + x_{4}^{2}$ is $a$ and $y_{1}^{2} + y_{2}^{2} + y_{3}^{2} + y_{4}^{2}$ is $b$ , then $a + b$ is

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