MathsCBSE Class 10 · Standard · Board exam 2024, set 30/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2024: question 11

Set in the CBSE Class 10 board exam of 2024, paper 30/4/1, section A, question 11, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q11 · 1 mark · MCQPair of Linear Equations in Two Variables

Two lines are given to be parallel. The equation of one of these lines is $5 x -3 y = 2$ . The equation of the second line can be :

(A) $- 15 x -9 y = 5$
(B) $15 x + 9 y = 5$
(C) $9 x -15 y = 6$
(D) $- 15 x + 9 y = 5$

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/4/1.

Hints

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

Hint 1

Compare ratios $a_{1} / a_{2}$ and $b_{1} / b_{2}$ .

Hint 2

They must be equal but not equal to $c_{1} / c_{2}$ .

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.

Parallel lines need $\frac{a _{1}}{a _{2}} = \frac{b _{1}}{b _{2}} \neq = \frac{c _{1}}{c _{2}}$ .
For $- 15 x + 9 y = 5$ : $\frac{5}{- 15} = \frac{- 3}{9} = - \frac{1}{3}$ and $\frac{2}{5} \neq = - \frac{1}{3}$ . Parallel. Option (D).
1 mark

Answer: $- 15 x + 9 y = 5$ , option (D)

Where the marks are

Checks coefficient ratios for parallel lines (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 paper2024 board paper, set 30/4/1 (Standard): every question, by section.

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CBSE Class 10 Mathematics Standard 2024: question 11

Hints

Step-by-step solution

Revise the chapter

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