MathsCBSE Class 10 · Standard · Sample paper, session 2023-24 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2023-24: question 6

From the official CBSE sample question paper for 2023-24, section A, question 6, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q6 · 1 mark · MCQCoordinate Geometry

What is the ratio in which the line segment joining $(2, - 3)$ and $(5, 6)$ is divided by x-axis?

(A)1:2
(B)2:1
(C)2:5
(D)5:2

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2023-24.

Hints

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

Hint 1

Every point on the x-axis has y = 0.

Hint 2

Use the section formula with ratio $k : 1$ for the y-coordinate.

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.

Let the x-axis divide the segment in the ratio $k : 1$ . A point on the x-axis has y-coordinate $0$ .
By the section formula, $\frac{6 k + ( - 3 )}{k + 1} = 0$ . So $6 k = 3$ , giving $k = \frac{1}{2}$ .
The ratio is $\frac{1}{2} : 1 = 1 : 2$ . Option (A).
1 mark

Answer: 1:2, option (A)

Where the marks are

Sets the y-coordinate from the section formula to 0 and gets 1:2, option (A) (1 mark)

Revise the chapter

Chapter: Coordinate Geometry (notes, formulas, where marks are lost and every past question)
Topic: Section Formula (Internal Division)

Practise this chapterBoard-style questions from Coordinate Geometry, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2023-24 (Standard): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.

CBSE Class 10 Mathematics Standard sample paper 2023-24: question 6

Hints

Step-by-step solution

Revise the chapter

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