If Pairs Of Lines 3x2 – 2pxy – 3y2 = 0 And 5x2 – 2qxy – 5y2 = 0 Are Such That Each Pair Bisects The Angle Between The Other Pair, Then pq is Equal To

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Question

If pairs of lines 3x2 – 2pxy – 3y2 = 0 and 5x2 – 2qxy – 5y2 = 0 are such that each pair bisects the angle between the other pair, then pq is equal to

Solution

Correct option is

–15

Equation of bisectors of angle between 3x2 – 2pxy – 3y2 = 0 is

  

Comparing with 5 (x2 – y2) – 2qxy = 0, p = –5, q = 3  

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