Multiple choice

In each of the following questions, two equations I and II are given. You have to solve them and Give answer (I) x2 – 21 x + 68 = 0 (II) y2 – 3y – 4 = 0

  1. If x > y

  2. If x ≤ y

  3. If x < y

  4. If x ≥ y

  5. If x = y or relationship cannot be established
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Equation I: x² - 21x + 68 = 0 factors to (x-17)(x-4)=0, so x = 17 or x = 4. Equation II: y² - 3y - 4 = 0 factors to (y-4)(y+1)=0, so y = 4 or y = -1. When x=17, y can be 4 or -1, so x > y. When x=4, y can be 4 (x=y) or -1 (x > y). Therefore x ≥ y in all cases. Option D is correct.

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