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ABCD is a rhombus whose… (Class 12 Maths SQP 2023-24, Q8)

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MathsCBSE Class 12 · Sample paper, session 2023-24 · 1 mark · MCQ

CBSE Class 12 Mathematics sample paper 2023-24: question 8

From the official CBSE sample question paper for 2023-24, section A, question 8, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q8 · 1 mark · MCQVector Algebra

is a rhombus whose diagonals intersect at . Then equals to

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

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

What do the diagonals of a rhombus do to each other?

Hint 2

Pair up the vectors that are opposite to each other.

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. The diagonals of a rhombus bisect each other at , so and .

  2. Adding the four vectors, the pairs cancel and the sum is : option (A).

    1 mark

Answer: , option (A)

Where the marks are

  • Uses the bisection of diagonals to cancel opposite vectors (1 mark)

Revise the chapter

  • Chapter: Vector Algebra (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Vector Algebra, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2023-24: 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.