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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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The line y=mxy=m x bisects the angle between the lines ax2+2hxy+by2=0,a x^2+2 h x y+b y^2=0, if
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Correct option: B
h(m2−1)+m(a−b)=0h\left(m^2-1\right)+m(a-b)=0
Option B (h(m2−1)+m(a−b)=0h\left(m^2-1\right)+m(a-b)=0) is correct because it represents the condition for the line y=mxy=mx to bisect the angle between the lines ax2+2hxy+by2=0a x^2+2 h x y+b y^2=0.

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