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Write the value of k for which the system of equations 3x + ky = 0, 2x – y = 0 has a unique solution.

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Question

Write the value of k for which the system of equations 3x + ky = 0, 2x – y = 0 has a unique solution.

Sum
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Solution

For unique solution, we have `(a_1)/(a_2) ≠ (b_1)/(b_2)`.

∴ `3/2 ≠ k/(-1)`

⇒ `k ≠ (-3)/2`

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Chapter 3: Linear Equations in Two Variables - EXERCISE 3F [Page 162]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 3 Linear Equations in Two Variables
EXERCISE 3F | Q 6. | Page 162
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