Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and find relation between x and y. I. 121x2 – 17 = 8 II. \(13y + \sqrt 9 = \sqrt {64}\)

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and find relation between x and y.

I. 121x² – 17 = 8

II. \(13y + \sqrt 9 = \sqrt {64}\)

A if x > y

B if x ≥ y

C if x < y

D if x ≤ y

E if x = y or the relationship cannot be established.

Solution

Correct Answer: Option E

According to the given equations,

I. 121x² – 17 = 8

⇒ 121x² = 8 + 17 = 25

⇒ x = \(\sqrt {\frac{{25}}{{121}}}\)

∴ x = ± 5/11

II. \(13y + \sqrt 9 = \sqrt {64}\)

⇒ 13y + 3 = 8

⇒ 13y = 8 – 3 = 5

∴ y = 5/13

∵ The value of y is greater than -5/11 but less than 5/11

Hence, no relationship can be established

Solution

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