Question

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

A
510
B
310
C
210
D
None of these

Solution

## The correct option is A 5√10Let roots are α,β so, αβ=23⇒α=2β3 ∴α+β=m12 ⇒2β3+β=m12⇒5β3=m12........(i) and α β=512⇒2β3.β=512⇒β2=58 ⇒β=√58 Put the value of β in (i),53.√58=m12⇒m=5√10.

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