Q.

If k1,k2 are the sum and product of the slopes of the pair of lines 2x2+4xy+y2=0 then k1+k2 is

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a

-12

b

12

c

-2

d

2

answer is C.

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Detailed Solution

If  m1,m2are slopes of lines represented by the combined equation  ax2+2hxy+by2=0 then m1+m2=−2hb and  m1⋅m2=abGiven k1,k2are the sum and product of the slopes of the pair of lines 2x2+4xy+y2=0Hence, k1=−4 and k2=2Therefore, k1+k2=−2
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