| Directions: In the following questions two equations numbered I and II are given. You have to solve both the equations and given answer. |
| I. \[{{x}^{2}}-463=321\] |
| II. \[{{y}^{2}}-421=308\] |
A) If \[x>y\]
B) If \[x\ge y\]
C) If \[x<y\]
D) If \[x\le y\]
E) If \[x=y\] or the relationship cannot be established
Correct Answer: E
Solution :
| I. \[{{x}^{2}}=463+321=784\] |
| \[\therefore \]\[x=\sqrt{784}\] |
| \[\therefore \] \[x=\pm \,\,28\] |
| II. \[{{y}^{2}}=308+421=729\] |
| \[\therefore \] \[y=29=\pm \,\,27\] |
| Hence,\[x=y\] or the relationship cannot be established. |
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