Equation of another line parallel to the line represented by 2x - 6y = 7 is : (A) y = 3x - 7 (B) 2x = 9 - 6y (C) x - 3y = 7 (D) x = 7/2 - 3y

MathsCBSE Class 10 · Standard · Board exam 2026, set 30/3/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 8

Set in the CBSE Class 10 board exam of 2026, paper 30/3/1, section A, question 8, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q8 · 1 mark · MCQPair of Linear Equations in Two Variables

Equation of another line parallel to the line represented by $2 x - 6 y = 7$ is :

(A) $y = 3 x - 7$
(B) $2 x = 9 - 6 y$
(C) $x - 3 y = 7$
(D) $x = \frac{7}{2} - 3 y$

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/3/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Parallel lines have the same ratio of x and y coefficients but a different constant ratio.

Hint 2

Bring each option to the form $a x + b y = c$ and compare it with $2 x - 6 y = 7$ .

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

Lines are parallel when $\frac{a _{1}}{a _{2}} = \frac{b _{1}}{b _{2}} \neq = \frac{c _{1}}{c _{2}}$ .
For $2 x - 6 y = 7$ and $x - 3 y = 7$ : $\frac{2}{1} = \frac{- 6}{- 3} = 2$ , but $\frac{7}{7} = 1 \neq = 2$ . So they are parallel.
The other options have slopes $3$ or $- \frac{1}{3}$ , not $\frac{1}{3}$ , so they are not parallel. The answer is option (C).
1 mark

Answer: $x - 3 y = 7$ ; option (C)

Where the marks are

Chooses option (C) $x - 3 y = 7$ (1 mark)

Revise the chapter

Chapter: Pair of Linear Equations in Two Variables (notes, formulas, where marks are lost and every past question)

Practise this chapterBoard-style questions from Pair of Linear Equations in Two Variables, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 30/3/1 (Standard): every question, by section.

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CBSE Class 10 Mathematics Standard 2026: question 8

Hints

Step-by-step solution

Revise the chapter

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