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Q.

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

ac=b+d

c

ab=cd

d

ab=c+da+b

answer is C.

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Detailed Solution

The given curves   x2a+y2b=1,x2c+y2d=1intersect orthogonally

The condition that the curves px2+qy2=1,   p1x2+q1y2=1cuts orthogonally is 1p1q=1p'1q'

Hence, the required condition is ab=cd

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