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The diagonal AC & BD of a rhombus intersect at (5,6). If A=(3,2). Then find the equation of diagonal BD.
A(3,2) and diagonals intersect at (5,6)Since diagonals of a rhombus are perpendicularLet m1 be the slope of AClet m2 be the slope of BDm1*m2=-1m1=5-3/6-2=1/2therefore; m2=-2equation of BD is(y-6)=m2(x-5)(y-6)=-2(x-5)2x+y+4=0
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