Q100 / 170 · Manipal (MET) 2017 · Mathematics

If the product of roots of the equation $m x^2+6 x+(2 m-1)=0$ is -1 , then the value of $m$ is

A
1
B
-1
Correct answer
C
$\frac{1}{3}$
D
$\frac{-1}{3}$

Solution

Product of roots of equation is $\frac{2 m-1}{m}=(-1)$ given $\Rightarrow 2 m-1=-m$ $\Rightarrow 3 m=1 \Rightarrow m=\frac{1}{3}$

Hence, the correct answer is option: 'C'.

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