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Question 147Asked in BPSC TRE 3.0 (2024) Mathematics Class 11-12

The coefficient of x⁶ in expansion of (2x − 3)⁶ is(2x − 3)⁶ के प्रसार में x⁶ का गुणांक है

(2x − 3)⁶ के प्रसार में x⁶ का गुणांक है
  1. A88
  2. B1616
  3. C6464
  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: (C) 6464

Explanation

The x⁶ term is the term with the highest power: ⁶C₀(2x)⁶(−3)⁰ = 64x⁶, so the coefficient is 64.x⁶ वाला पद उच्चतम घात वाला पद है: ⁶C₀(2x)⁶(−3)⁰ = 64x⁶, इसलिए गुणांक 64 है।

From BPSC TRE 3.0 (2024) Mathematics Class 11-12 — Previous Year Paper

This is question 147 of BPSC TRE 3.0 (2024) Mathematics Class 11-12 — 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.