Question 99Asked in BPSC TRE 2.0 (2023) Mathematics and Science Class 6-8

The coordinates of three points A, B and C are (a/√3, a), (2a/√3, 2a) and (a/√3, 3a) respectively. The Δ ABC isतीन बिन्दुओं A, B और C के निर्देशांक क्रमशः (a/√3, a), (2a/√3, 2a) और (a/√3, 3a) हैं। Δ ABC है

तीन बिन्दुओं A, B और C के निर्देशांक क्रमशः (a/√3, a), (2a/√3, 2a) और (a/√3, 3a) हैं। Δ ABC है
  1. Aequilateralसमबाहु
  2. Bisoscelesसमद्विबाहु
  3. Cright-angledसमकोण
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (B) isoscelesसमद्विबाहु

Explanation

AB² = a²/3 + a² = 4a²/3, BC² = a²/3 + a² = 4a²/3, so AB = BC, while AC = 2a is different. The triangle is isosceles (and not right-angled).AB² = a²/3 + a² = 4a²/3, BC² = a²/3 + a² = 4a²/3, अतः AB = BC जबकि AC = 2a भिन्न है। त्रिभुज समद्विबाहु है (समकोण नहीं)।

From BPSC TRE 2.0 (2023) Mathematics and Science Class 6-8 — Previous Year Paper

This is question 99 of BPSC TRE 2.0 (2023) Mathematics and Science Class 6-8 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.