Subject - Mathematics:

Quadratic Equations

MCQ - 502-9234

Question:

If the sum of the roots of the equation kx² + 2x + 3k = 0 is equal to their product then the value of k is

$\frac{1}{3}$
$\frac{-1}{3}$
$\frac{2}{3}$
$\frac{-1}{3}$

Correct Answer: D

Explanation:

For the given equation kx² + 2x + 3k = 0
a = k b = 2 c = 3k comparing with ax² + bx + c = 0
Sum of the roots = $\frac{-b}{a}$ = $\frac{-2}{k}$
Product of the roots $\frac{c}{a}$ = $\frac{3k}{k}$ = 3
Sum of roots is equal to their product: $\frac{-2}{k}$ = 3
k = $\frac{-2}{3}$

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504 MCQ for effective preparation of the test of Quadratic Equations of Mathematics section.

Read the MCQ statement: If the sum of the roots of the equation kx2 + 2x + 3k = 0 is equal to their product then the value of k is , keenly and apply the method you have learn through the video lessons for Quadratic Equations to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 502-9234.

How to Answer

Solve the question for MCQ No. and decide which option (A through D/E) is the best choice to answer the MCQ, then click/tap the blue button to view the correct answer and it explanation.

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