Question 88Asked in BPSC TRE 1.0 (2023) Mathematics Class 9-10

Given x = 1 / (2 − 1 / (2 − 1 / (2 − x))), (x ≠ 2)दिया है

Given x = 1 / (2 − 1 / (2 − 1 / (2 − x))), (x ≠ 2) then x is equal to
दिया है x = 1 / (2 − 1 / (2 − 1 / (2 − x))), (x ≠ 2) तब x बराबर है
  1. A1, 11, 1
  2. B−1, 1−1, 1
  3. C−1, −1−1, −1
  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: (A) 1, 11, 1

Explanation

Simplifying the nested fraction gives x = (3 − 2x)/(4 − 3x), so 3x² − 6x + 3 = 0, i.e. (x − 1)² = 0 and x = 1, 1.भिन्न को सरल करने पर x = (3 − 2x)/(4 − 3x), अतः 3x² − 6x + 3 = 0, यानी (x − 1)² = 0 और x = 1, 1।

From BPSC TRE 1.0 (2023) Mathematics Class 9-10 — Previous Year Paper

This is question 88 of BPSC TRE 1.0 (2023) Mathematics Class 9-10 — 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.