Question 100Asked in BPSC TRE 1.0 (2023) Mathematics Class 11-12

A solution of the equation tan⁻¹2x + tan⁻¹3x = π/4 isसमीकरण tan⁻¹2x + tan⁻¹3x = π/4 का हल है

समीकरण tan⁻¹2x + tan⁻¹3x = π/4 का हल है
  1. Ax = −1/6x = −1/6
  2. Bx = 1/6x = 1/6
  3. Cx = 1/3x = 1/3
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
Show answerHide answer

Correct answer: (B) x = 1/6x = 1/6

Explanation

tan⁻¹[5x/(1 − 6x²)] = π/4 gives 6x² + 5x − 1 = 0, so x = 1/6 or x = −1. x = −1 makes both terms negative, so it is rejected, leaving x = 1/6.tan⁻¹[5x/(1 − 6x²)] = π/4 से 6x² + 5x − 1 = 0 मिलता है, इसलिए x = 1/6 या x = −1। x = −1 पर दोनों पद ऋणात्मक हो जाते हैं, अतः इसे अस्वीकार किया जाता है और x = 1/6 शेष रहता है।

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

This is question 100 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.