If the roots of the equation 4x2+ax+3=0 are in ratio of 1:2, then value(s) of a is/are
A
−3√6
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B
−√6
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C
3√6
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D
√6
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Solution
The correct option is C3√6 Let the roots of the equation be l,m, then m=2l⋯(1)
Now, the product of the roots, lm=34
Using equation (1), ⇒2l2=34⇒l=±√32√2⋯(2)
Sum of the roots is, l+m=−a4⇒−a4=3l∴a=∓3√6