If the roots of the equation 12x2-mx+5=0 are in the ratio 2 : 3, then m=

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510

310

210

None of these

answer is A.

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Detailed Solution

Let roots are α, β so, αβ=23⇒α=2β3∴α+β=m12⇒2β3+β=m12⇒5β3=m12 ...(i)and αβ=512⇒2β3.β=512⇒β2=58⇒β=5/8Put the value of β in (i), (i), 53.58=m12⇒m=510

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