MathsCBSE Class 10 · Basic · Sample paper, session 2026-27 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic sample paper 2026-27: question 8

From the official CBSE sample question paper for 2026-27, section A, question 8, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q8 · 1 mark · MCQCoordinate Geometry

If the point P (5, 2) divides the line segment joining A( 8, 5) and B( 4, $y$ ) in the ratio 3 : 1, then the value of $y$ is

(A)4
(B)3
(C)2
(D)1

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

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

Hint 1

Use the section formula for internal division.

Hint 2

Equate the y-coordinate it gives to 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 3 : 1, the y-coordinate of P is $\frac{3 y + 1 ( 5 )}{3 + 1}$ .
$\frac{3 y + 5}{4} = 2 \Rightarrow 3 y = 3 \Rightarrow y = 1$ . Option (D).
1 mark

Answer: y = 1, option (D)

Where the marks are

Applies the section formula to the y-coordinate to get y = 1 (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 2026-27 (Basic): every question, by section.

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CBSE Class 10 Mathematics Basic sample paper 2026-27: question 8

Hints

Step-by-step solution

Revise the chapter

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