If the pair of lines which joins the origin to the point of intersection of ax2+2hxy+by2+2gx=0, a1x2+2h1xy+b1y2+2g1x=0 are at right angles then

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gg1=a1+b1a+b

gg1=a+ba1+b1

hh1=a+ba1+b1

hh1=a1+b1a+b

answer is B.

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Detailed Solution

ax2+2hxy+by22g=a1x2+2h1xy+b1y22g1=-x⇒g1(ax2+2hxy+by2+2gx)−g(a1x2+2h1xy+b1y2+2g1x)=0coefficient of x2 + coefficient of y2 = 0⇒g1(a+b)=g(a1+b1)

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