If the lines represented by the equations 2x2+mxy+y2+3x+ly−5=0 are parallel to each other, which of the following is correct.

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l=32,m=−8

l=3,m=8

l=±32,m=±22

l=8,m=32

answer is C.

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Detailed Solution

The conditions that the equation ax2+2hxy+by2+2gx+2fy+c=0 represents pair of h2=ab and af2=bg2parallel lines are and For the equation 2x2+mxy+y2+3x+ly−5=0, the values are a=2,h=m2,b=1,g=32,f=l2Hence, m24=2m2=8m=±22And 2l22=1322l2=92l=±32 Therefore, l=±32,m=±22

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