| Directions: In the following questions two equations numbered I and II are given. You have to solve both the equation and given answer. [Bank of Baroda (PO) 2011] |
| I. \[\sqrt{1225}x+\sqrt{4900}=0\] |
| II. \[{{(81)}^{\frac{1}{4}}}y+{{(343)}^{\frac{1}{3}}}=0\] |
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: A
Solution :
| I. \[\sqrt{1225}x+\sqrt{4900}=0\] |
| \[\Rightarrow \]\[35x+70=0\] |
| \[\Rightarrow \] \[x=-\,\,2\] |
| II. \[{{(81)}^{\frac{1}{4}}}y+{{(343)}^{\frac{1}{3}}}=0\] |
| \[\Rightarrow \]\[{{({{3}^{4}})}^{\frac{1}{4}}}y+{{({{7}^{3}})}^{\frac{1}{3}}}=0\] |
| \[\Rightarrow \] \[3y+7=0\] |
| \[\Rightarrow \] \[y=-\frac{7}{3}\] |
| \[\therefore \] \[x>y\] |
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