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Algebra

Quadratic Equations, Product of Roots

jee_main_2026_jan_22_shift_1

Grade None

Question:

If the roots of the equation \(2x^2 - 7x + k = 0\) are reciprocals of each other, find k.

A. 1

B. 2

C. 3

D. 4

Step-by-Step Solution

Key Concept: Product of roots = c/a.

Step 1: For \(2x^2 - 7x + k = 0\), product = k/2. Step 2: Since roots are reciprocals, product = 1. Step 3: k/2 = 1 => k = 2.

Correct Answer: B

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