If the equation $2{x^2} + 3x + 5\lambda = 0\;\,{\rm{and}}\,\;{x^2} + 2x + 3\lambda = 0$ have a common root, then $\lambda $ is equal to

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

If the equation

2{x^2} + 3x + 5\lambda = 0\;\,\mathrm{and}\,\;{x^2} + 2x + 3\lambda = 0

have a common root, then

\lambda

is equal to

View answer and explanation

Correct option: C

0,\; - 1

The correct answer is C (

0,\; - 1

) because these are the values of

\lambda

for which the given quadratic equations have a common root.

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