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Question

Find k if one of the line is given by
6x2+kxy+y2=0is2x+y=0

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Solution

6x2+kxy+y2=0 ax2+2hxy+by2=0
2x+y=0 a=6h=k2b=1
m1+m2=2hb=k
2+m2=k
m2=k+2
m1m2=a/b

2(k+2)=6
2k4=6
2k=10
k=5

1213161_1418177_ans_7576468c3d7b444e94e03f4c936bed4d.jpg

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