CUET · MATHS · PYQ PAPER 2025
For what value of \(k\), the following system of equations has infinitely many solutions?
\(x+2 y=5\), \(3 x+k y=15\)
- A 1
- B 6
- C \(-3\)
- D 3
Answer & Solution
Correct Answer
(B) 6
Step-by-step Solution
Detailed explanation
\(\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}\) \(\frac{1}{3} = \frac{2}{k} = \frac{5}{15}\) \(\frac{2}{k} = \frac{1}{3}\) \(k = 2 \times 3\) \(k = 6\)
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