| 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: A
Solution :
| [a] I. \[2{{x}^{2}}+23x+63=0\] |
| \[\Rightarrow \] \[2{{x}^{2}}+14x+9x+63=0\] |
| \[\Rightarrow \] \[2x\,(x+7)+9\,(x+7)=0\] |
| \[\Rightarrow \] \[(x+7)(2x+9)=0\,\,\Rightarrow \,\,x=-7,\,\]\[-\frac{9}{2}\] |
| II. \[4{{y}^{2}}+19y+21=0\] |
| \[\Rightarrow \] \[4{{y}^{2}}+12y+7y+21=0\] |
| \[\Rightarrow \] \[4y\,(y+3)+7\,(y+3)=0\] |
| \[\Rightarrow \] \[(y+3)(4y+7)=0\Rightarrow y=-3,\,\]\[-\frac{7}{4}\] |
| Hence, \[y>x\] |
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