Multiple choice

In each of the following questions, two equations are given. You have to solve them and answer the question.( \text{(I)} \quad 6x^2 - 11x + 4 = 0 ) ( \text{(II)} \quad 30y^2 - 23y + 3 = 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.
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E Correct answer
Explanation

Equation (I): 6x² - 11x + 4 = 0 factors as (2x-1)(3x-4) = 0, giving x = 1/2 or 4/3. Equation (II): 30y² - 23y + 3 = 0 factors as (5y-3)(6y-1) = 0, giving y = 3/5 or 1/6. Since x values (0.5, 1.33) and y values (0.6, 0.17) overlap in range, no definite relationship exists.

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