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The points A(9,0)… (Class 10 Maths SQP 2025-26, Q16)

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MathsCBSE Class 10 · Standard · Sample paper, session 2025-26 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2025-26: question 16

From the official CBSE sample question paper for 2025-26, section A, question 16, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q16 · 1 mark · MCQCoordinate Geometry

The points A(9,0), B(9,-6), C(-9,0) and D(-9,6) are the vertices of a

  1. (A)Square
  2. (B)Rectangle
  3. (C)Parallelogram
  4. (D)Trapezium

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2025-26.

Hints

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

Hint 1

Plot the four points, or compare the opposite sides.

Hint 2

Check whether the diagonals are equal to decide between a rectangle and a parallelogram.

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.

  1. AB joins (9,0) and (9,−6), and CD joins (−9,0) and (−9,6). Both are vertical with length 6, so AB ∥ CD and AB = CD.

  2. Slope of BC and slope of DA , so BC ∥ DA. Both pairs of opposite sides are parallel.

  3. Diagonal AC and diagonal BD . These are unequal, so ABCD is not a rectangle or a square. It is a parallelogram, option (C).

    1 mark

Answer: Parallelogram, option (C)

Where the marks are

  • Shows both pairs of opposite sides are parallel and the diagonals are unequal, so ABCD is a parallelogram, option (C) (1 mark)

Revise the chapter

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 2025-26 (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.