MathsCBSE Class 10 · Standard · Sample paper, session 2024-25 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2024-25: question 17

From the official CBSE sample question paper for 2024-25, section A, question 17, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q17 · 1 mark · MCQCoordinate Geometry

A point on the $x$ -axis divides the line segment joining the points $A (2, - 3)$ and $B (5, 6)$ in the ratio $1 : 2$ . The point is

(A) $(4, 0)$
(B) $(\frac{7}{2}, \frac{3}{2})$
(C) $(3, 0)$
(D) $(0, 3)$

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2024-25.

Hints

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

Hint 1

Use the section formula $(\frac{m _{1} x _{2} + m _{2} x _{1}}{m _{1} + m _{2}}, \frac{m _{1} y _{2} + m _{2} y _{1}}{m _{1} + m _{2}})$ .

Hint 2

Here $m_{1} = 1$ and $m_{2} = 2$ .

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.

By the section formula with ratio $1 : 2$ : $x = \frac{1 ( 5 ) + 2 ( 2 )}{1 + 2} = 3$ and $y = \frac{1 ( 6 ) + 2 ( - 3 )}{3} = 0$ .
The point is $(3, 0)$ , which lies on the $x$ -axis. The answer is option (C).
1 mark

Answer: $(3, 0)$ , option (C)

Where the marks are

Applies the section formula to get $(3, 0)$ (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 2024-25 (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 2024-25: question 17

Hints

Step-by-step solution

Revise the chapter

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