Instructions

In the following questions two equations numbered I and II are given. You have to solve both the equations and —
Give answer a: if × > y
Give answer b: if × ≥ y
Give answer c: if × < y
Give answer d: if × ≤ y
Give answer e: if × = y or the relationship cannot be established.

Question 65

I. $$x^{2} - 22x + 121 = 0$$
II. $$y^{2} = 121$$

Solution

I. $$x^{2} - 22x + 121 = 0$$

=> $$(x - 11)^2 = 0$$

=> $$x = 11$$

II. $$y^{2} = 121$$

=> $$y = \pm11$$

$$\therefore$$ $$y \leq x$$ or $$x \geq y$$.
Therefore, option B is the right answer.

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I. $$x^{2} - 22x + 121 = 0$$II. $$y^{2} = 121$$

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I. $$x^{2} - 22x + 121 = 0$$
II. $$y^{2} = 121$$