If the curves x2a+y2b=1 and x2c+y2d=1intersect each other at an angle of 90°then which of the following relations is TRUE
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a
a+b=c+d
b
a−c=b+d
c
a−b=c−d
d
ab=c+da+b
answer is C.
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Detailed Solution
The given curves x2a+y2b=1,x2c+y2d=1intersect orthogonallyThe condition that the curves px2+qy2=1, p1x2+q1y2=1cuts orthogonally is 1p−1q=1p'−1q'Hence, the required condition is a−b=c−d