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Question

In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer.

I. 6x2- 47x + 77 =0

II. 6y2- 35y + 49 = 0

A If x > y Correct Answer Incorrect Answer
B If x ≥ y Correct Answer Incorrect Answer
C If x < y Correct Answer Incorrect Answer
D If x ≤ y Correct Answer Incorrect Answer
E If x = y or the relationship cannot be established Correct Answer Incorrect Answer

Solution

I. 6x2 - 47x + 77 =0 6x2 - 14x - 33 x + 77 =0 2x (3x - 7) - 11 (3x - 7) = 0 (2x - 11) (3 x - 7) = 0 x = 11/2, 7/3 II. 6y2 - 35y + 49 = 0 6y2 - 21y - 14y + 49 = 0 3y (2 y - 7) - 7 (2y - 7) = 0 (3y - 7)(2 y - 7) = 0 y = 7/3, 7/2 Hence, relationship cannot be established between x and y

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