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Selecting Consecutive Terms in A.P

If the equati...

Question

If the equations $a x^{2} + b x + 1 = 0 a n d 2 x^{2} + 4 x + 3 = 0$ have both the roots common, then the value of a + b is

A

1

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B

2

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C

3

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D

4

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Solution

The correct option is B
2

Since both the roots are common

$\frac{a}{2} = \frac{b}{4} = \frac{1}{3}$

$a = \frac{2}{3}, b = \frac{4}{3}$

$\Rightarrow a + b = \frac{6}{3} = 2$

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