The equation of the pair of lines passing through the origin and having slope m∈I (I is integer) for which equation (x−3)(x+m)+1=0 has integral roots is

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y2−6xy−5x2=0

y2−6xy+5x2=0

y2+6xy-5x2=0

y2+6xy+5x2=0

answer is D.

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Detailed Solution

x−3=1 and x+m=-1⇒x=4, m=-5x−3=1 and x+m=1⇒x=2,m=−1equation of pair of lines y2−(m1+m2)xy+m1m2x2=0⇒y2+6xy+5x2=0

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