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Question

If the equation x2+2x+3λ=0 and 2x2+3x+5λ=0 have a non - zero common root, then λ=


A

1

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B

-1

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C

3

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D

None

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Solution

The correct option is B

-1


Condition for common root of the equations i.e., (6λ5λ)2=(34)(10λ9λ) λ=1 a1x2+b1x+c1=0 and a2x2+b2x+c2=0is (c1a2c2a1)2=(a1b2a2b1)(b1c2b2c1)


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