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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Analyzing +4 | -1
If two pairs of straight lines having equations y2+xy−12x2=0y^2+x y-12 x^2=0 and ax2+2hxy+by2=0a x^2+2 h x y+b y^2=0 have one line common, then a=a=
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Correct option: A
−3(2h+3b)-3(2 h+3 b)
Option A (−3(2h+3b)-3(2 h+3 b)) is correct because substituting y=3xy=3x into the second equation and solving for aa yields this result.

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