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Question

If the sum of the roots of the equation ax2+2x+3a=0 is equal to their product, then value of a is:


A

-23

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B

-3

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C

4

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D

-12

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Solution

The correct option is A

-23


Explanation for the correct option.

In the given equation, ax2+2x+3a=0

Sum of roots =-ba=-2a and product of roots =ca=3aa=3.

As per the given information,

-2a=3a=-23

Hence, option A is correct.


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