Multiple choice

Directions: In the following question, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly. (i) 7x2 – 15x + 2 = 0 (ii) 8y2 – 10y + 3 = 0

  1. x = y or no relation can be established between x & y.

  2. x ≥ y

  3. x < y

  4. x ≤ y

  5. x > y
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A Correct answer
Explanation

Solving 7x^2 - 15x + 2 = 0: (7x - 1)(x - 2) = 0, so x = 1/7 or 2. Solving 8y^2 - 10y + 3 = 0: (4y - 3)(2y - 1) = 0, so y = 3/4 or 1/2. Comparing values: 2 > 3/4, 2 > 1/2, 1/7 < 3/4, 1/7 < 1/2. Since x can be greater or smaller than y, no relation can be established.

AI explanation

Factoring equation I gives (7x minus 1)(x minus 2) = 0, so x = 1/7 or x = 2. Factoring equation II gives (4y minus 3)(2y minus 1) = 0, yielding y = 3/4 or y = 1/2. Because x = 1/7 is less than both values of y, but x = 2 is greater than both values of y, no relation can be established.

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