Question 62Asked in BPSC TRE 1.0 (2023) Mathematics Class 11-12

The gradient of the normal to the curve y = 2x² + 3 sin x at x = 0 isवक्र y = 2x² + 3 sin x के बिन्दु x = 0 पर अभिलम्ब की प्रवणता है

वक्र y = 2x² + 3 sin x के बिन्दु x = 0 पर अभिलम्ब की प्रवणता है
  1. A1/31/3
  2. B−1/3−1/3
  3. C33
  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) −1/3−1/3

Explanation

dy/dx = 4x + 3 cos x, which is 3 at x = 0. The slope of the normal is −1/3.dy/dx = 4x + 3 cos x, जो x = 0 पर 3 है। अतः अभिलम्ब की प्रवणता −1/3 है।

From BPSC TRE 1.0 (2023) Mathematics Class 11-12 — Previous Year Paper

This is question 62 of BPSC TRE 1.0 (2023) 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.