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Question

If the roots of the equation 12x2mx+5=0 are in the ratio 2 : 3, then m=


Correct Answer
A
510
Your Answer
B
310
Your Answer
C
210
Your Answer
D
None of these

Solution

The correct option is A 510

Let roots are α,β so, αβ=23α=2β3
α+β=m12
2β3+β=m125β3=m12........(i)
and α β=5122β3.β=512β2=58
β=58
Put the value of β in (i),53.58=m12m=510.

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