Quantitative Reasoning

Linear Equation

Easy

For which value of the k, the pair of linear equations has no solution

$6x - 3y + 10 = 0$ and $kx - y + 9 = 0$ :

-1

-2

✅ Correct Option: 3

For no solution: $\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}$ .

$\frac{6}{k} = \frac{-3}{-1} = 3$

$k = \frac{6}{3} = 2$ .

Check: $\frac{10}{9} \neq 3$ , so no solution holds.

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2022: 6 Oct Shift 1

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Read the information given below carefully and answer the question that follows:

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2026: 22 May Shift 2

Which of the following pair of linear equations has no solution?

(A) $2x + 3y - 1 = 0$ and $4x + 6y - 4 = 0$

(B) $x - 2y = 0$ and $3x + 4y - 20 = 0$

(D) $x + 2y - 4 = 0$ and $2x + 4y - 12 = 0$

Choose the correct answer from the options given below:

For which value of the k, the pair of linear equations has no solution 6x−3y+10=06x - 3y + 10 = 06x−3y+10=0 and kx−y+9=0kx - y + 9 = 0kx−y+9=0 :

Solution

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Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)

For which value of the k, the pair of linear equations has no solution

$6x - 3y + 10 = 0$ and $kx - y + 9 = 0$ :