Multiple choice

In each of these questions, two equations (a) and (b) are given. You have to solve both the equations and choose the correct option. (a) x^2 – 12x - 108 =0 (b) y^2 – 24y + 95 = 0

  1. $x > y$
  2. $x ≤ y$
  3. $x ≥ y$
  4. $x < y$

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

Solving equation (a): x^2-12x-108=0 gives x=(12±√(144+432))/2=(12±√576)/2=(12±24)/2, so x=18 or x=-6. Solving equation (b): y^2-24y+95=0 gives y=(24±√(576-380))/2=(24±√196)/2=(24±14)/2, so y=19 or y=5. Since x can be -6 to 18 and y can be 5 to 19, we cannot establish a definite relationship between x and y. Option E is correct.

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