If the equations 2 x^2 + 3x + 5 = 0 and x^2 + 2x + 3 = 0 have a c… - Vidyadip

MCQ

If the equations $2{x^2} + 3x + 5\lambda = 0$ and ${x^2} + 2x + 3\lambda = 0$ have a common root, then $\lambda = $

A
$0$
B
$-1$
✓
$0, - 1$
D
$2,-1$

✓

Answer

Correct option: C.

$0, - 1$

c
(c) Given equations are $2{x^2} + 3x + 5\lambda = 0$ and ${x^2} + 2x + 3\lambda = 0$ have a common root if

$\frac{{{x^2}}}{{ - \lambda }} = \frac{x}{{ - \lambda }} = \frac{1}{1}$

==> ${x^2} = - \lambda ,x = - \lambda $or $\lambda = - 1,\,\,0$.

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