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Q.

The slope of angular bisectors of pair of lines (ax+by)2=c(bx−ay)2,(c>0) are

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a

−ab,ba

b

ab,−ba

c

ac,−ca

d

ca,−ac

answer is A.

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Detailed Solution

a2x2+2abxy+b2y2=cb2x2-2abcxy+ca2y2 x2a2-cb2+2abxy1+c+y2(b2-ca2)=0apply angular bisector formulabisector are parallel and perpendicular to the line ax+by+k=0
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The slope of angular bisectors of pair of lines (ax+by)2=c(bx−ay)2,(c>0) are