| Directions: In the following questions, two equations numbered I and II have been given. You have to solve both the equations and mark the correct answer. [SBI (PO) 2015] |
A) lf \[x<y\]
B) If \[x>y\]
C) If\[x\ge y\]
D) If \[x\le y\]
E) If relationship between x and y cannot be established
Correct Answer: D
Solution :
| [d] I. \[3{{x}^{2}}+23x+44=0\] |
| \[\Rightarrow \] \[3{{x}^{2}}+12x+11x+44=0\] |
| \[\Rightarrow \] \[3x\,(x+4)+11\,(x+4)=0\] |
| \[\Rightarrow \] \[(3x+11)(x+4)=0\Rightarrow x=-4,\]\[-\frac{11}{3}\] |
| II. \[3{{y}^{2}}+20y+33=0\] |
| \[\Rightarrow \] \[3{{y}^{2}}+11y+9y+33=0\] |
| \[\Rightarrow \] \[y\,(3y+11)+3\,(3y+11)=0\] |
| \[\Rightarrow \] \[(3y+11)(y+3)=0\Rightarrow y=-\,3,\]\[-\frac{11}{3}\] |
| Hence, \[y\ge x\] |
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