If x + 1/x = 1, then the value of (x² + 7x + 1) / (x² + 11x + 1) = ?

2023

If x + 1/x = 1, then the value of (x² + 7x + 1) / (x² + 11x + 1) = ?

  1. A.

    3/4

  2. B.

    2/3

  3. C.

    1/3

  4. D.

    1/4

Attempted by 8 students.

Show answer & explanation

Correct answer: B

Given x + 1/x = 1, multiply by x to get x^2 + 1 = x. Then the numerator is 8x and the denominator is 12x, so the value is 2/3.

Explore the full course: Uptet Paper 2