MathsCBSE Class 10 · Standard · Board exam 2025, set 30/2/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2025: question 5

Set in the CBSE Class 10 board exam of 2025, paper 30/2/1, section A, question 5, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q5 · 1 mark · MCQCoordinate Geometry

The coordinates of the end points of a diameter of a circle are $(5, - 2)$ and $(5, 2)$ . The length of the radius of the circle is :

(A) $\pm 2$
(B) $\pm 4$
(C) $4$
(D) $2$

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/2/1.

Hints

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

Hint 1

Use the distance formula on the two end points to get the diameter.

Hint 2

The radius is half the diameter, and a length is never negative.

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.

Diameter $= (5 - 5)^{2} + (2 - (- 2))^{2} = 16 = 4$ units.
½ mark
Radius $= \frac{4}{2} = 2$ units. A length cannot be negative, so $\pm$ is ruled out. Option (D).
½ mark

Answer: 2, option (D)

Where the marks are

Finds the diameter as 4 using the distance formula and halves it to get radius 2, option (D) (1 mark)

Revise the chapter

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

Practise this chapterBoard-style questions from Coordinate Geometry, one at a time, marked against the answer key and marking points.Back to the full paper2025 board paper, set 30/2/1 (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 2025: question 5

Hints

Step-by-step solution

Revise the chapter

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