Multiple choice

In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer. I. x = 172 – 132 – 112 II. 4y2 – 13y + 9 = 0

  1. if x > y

  2. if x ≤ y

  3. if x ≥ y

  4. if x < y

  5. if x = y or relationship between x and y can't be established
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

x = 17^2 - 13^2 - 11^2 = 289 - 169 - 121 = -1. For 4y^2 - 13y + 9 = 0, roots are y = [13 +/- sqrt(169 - 144)] / 8 = [13 +/- 5] / 8. Roots are 18/8 = 2.25 and 8/8 = 1. Since x = -1 and both roots of y are positive, x < y.

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