In the given figure, Δ ABC is an equilateral triangle. AD is a median of the triangle joining the points A (0, (5√(3))/(2) ), D(0, 0). Points B and C are (in same order) : (A) (-5, 0), (5, 0) (B) (-5/2, 0 ), (5/2, 0 ) (C) (-10, 0), (10, 0) (D) (-5√(3), 0), (5√(3), 0)

MathsCBSE Class 10 · Standard · Board exam 2026, set 30/3/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 17

Set in the CBSE Class 10 board exam of 2026, paper 30/3/1, 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

In the given figure, $Δ$ ABC is an equilateral triangle. AD is a median of the triangle joining the points $A (0, \frac{5 3}{2})$ , $D (0, 0)$ . Points B and C are (in same order) :

(A)(-5, 0), (5, 0)
(B) $(- \frac{5}{2}, 0), (\frac{5}{2}, 0)$
(C)(-10, 0), (10, 0)
(D) $(- 53, 0), (53, 0)$

Figure in the paper: Equilateral triangle ABC with apex A at $(0, \frac{5 3}{2})$ on the y-axis, base BC on the x-axis, and D(0,0) the foot of the median AD on BC; B is to the left and C to the right of D. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/3/1.

Hints

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

Hint 1

AD = 5√3/2 is the height of the equilateral triangle.

Hint 2

Height $= \frac{3}{2} \times$ side. Find the side, then halve it.

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.

In an equilateral triangle the median is also the altitude: $A D = \frac{3}{2} a = \frac{5 3}{2}$ , so $a = 5$ .
$B D = D C = \frac{5}{2}$ . So $B (- \frac{5}{2}, 0)$ and $C (\frac{5}{2}, 0)$ , which is option (B).
1 mark

Answer: $(- \frac{5}{2}, 0), (\frac{5}{2}, 0)$ ; option (B)

Where the marks are

Chooses option (B) (1 mark)

Revise the chapter

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

Practise this chapterBoard-style questions from Coordinate Geometry, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 30/3/1 (Standard): every question, by section.

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CBSE Class 10 Mathematics Standard 2026: question 17

Hints

Step-by-step solution

Revise the chapter

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