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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Application +4 | -1
If ax2+2hxy+by2+2gx+2fy+c=0a x^2+2 h x y+b y^2+2 g x+2 f y+c=0 represents parallel straight lines, then
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Correct option: A
hf=bgh f=b g
Option A (hf=bgh f=b g) is correct because for parallel lines, the condition bg2=af2bg^2 = af^2 must hold, which simplifies to hf=bghf = bg when h2=abh^2 = ab.

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