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Question

If the sum of the roots of the equation λx2+2x+3λ=0 be equal to their product & λ0, then find the value of λ.


A

23

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B

-4

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C

6

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D

4

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Solution

The correct option is A

23


Given quadratic equation
λx2+2x+3λ=0
Now, Sum of roots =2λ
And, product of roots =3λλ=3

According to condition that sum of roots is equal to the product of roots.
2λ=3
λ=23.


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