10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

If the sum of the zeroes of the quadratic polynomial \[k{{x}^{2}}+4x+3k\] is equal to their product, then the value of k is:

A) \[-\frac{3}{4}\]

B) \[\frac{3}{4}\]

C) \[\frac{4}{3}\]

D) \[-\frac{4}{3}\]

Correct Answer: D

Solution :

[d] Let \[\alpha \] and \[\beta \] be the zeroes of polynomial \[k{{x}^{2}}+4x+3k\]According to question,

\[\alpha +\beta =\alpha \beta \Rightarrow -\frac{4}{k}=\frac{3k}{4}\Rightarrow -\frac{4}{k}=3\Rightarrow k=-\frac{4}{3}\]