CUET · MATHS · PYQ PAPER 2025
The system of equations \(x+k y=0\) \(3 x+5 y=0\) has infinitely many solutions, then \(k\) is equal to
- A \(\frac{3}{5}\)
- B \(\frac{5}{3}\)
- C \(-\frac{5}{3}\)
- D \(-\frac{3}{5}\)
Answer & Solution
Correct Answer
(B) \(\frac{5}{3}\)
Step-by-step Solution
Detailed explanation
\( \begin{vmatrix} 1 & k \\ 3 & 5 \end{vmatrix} = 0 \) \( (1)(5) - (k)(3) = 0 \) \( 5 - 3k = 0 \) \( 3k = 5 \) \( k = \frac{5}{3} \)
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