CBSE Class 10 Maths (Standard) 2025 · Paper 30(B)/S · Question 24

Coordinate Geometry 2 marks Medium

Show that the points

(a, a)

(- a, - a)

and

(- 3 a, 3 a)

are the vertices of an equilateral triangle.

Answer

A B^{2} = B C^{2} = C A^{2} = 8 a^{2}

, so

A B = B C = C A = 22 ∣ a ∣

. All three sides are equal, so the points are the vertices of an equilateral triangle. Hence proved.

🔒 Step-by-step solution

Class 10 Maths — every question with an expert-verified, step-by-step solution.