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NDA 2011
Exam
NDA
Year
2011
Subject
Mathematics
Chapter
Determinants

NDA 2011 · Mathematics · Determinants

What is the value of k for which the system of equations k x+2 y=5...

What is the value of kk for which the system of equations kx+2y=5k x+2 y=5 and 3x+y=13 x+y=1 has no solution?

Options

  1. A0
  2. B3
  3. C6
  4. D15

Correct answer

C. 6

Step-by-step solution

The system of equation has no solution if a1a2=b1b2≠c1c2⇒k3=21≠51⇒k=6.\begin{array}{rlrl} & & \frac{a_1}{a_2} & =\frac{b_1}{b_2} \neq \frac{c_1}{c_2} \\ \Rightarrow & & \frac{k}{3} & =\frac{2}{1} \neq \frac{5}{1} \\ \Rightarrow & k & =6. \end{array}
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