| Directions: In the following questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer. |
| I. \[3{{x}^{2}}+11x+10=0\] |
| II. \[2{{y}^{2}}+13y+21=0\] |
A) If \[x\ge y\]
B) If \[x\le y\]
C) If \[x>y\]
D) If \[x<y\]
E) If relationship between x and y cannot be established
Correct Answer: C
Solution :
| I. \[3{{x}^{2}}+11x+10=0\] |
| \[\Rightarrow \] \[3{{x}^{2}}+6x+5x+10=0\] |
| \[\Rightarrow \] \[3x\,(x+2)+5\,(x+2)=0\] |
| \[\Rightarrow \] \[x=-\frac{5}{3},\]\[-\,2\] |
| II. \[2{{y}^{2}}+13y+21=0\] |
| \[\Rightarrow \] \[2{{y}^{2}}+6y+7y+21=0\] |
| \[\Rightarrow \] \[2y\,(y+3)+7\,(y+3)=0\] |
| \[\Rightarrow \] \[y=-\,3,\]\[\frac{-7}{2}\] |
| \[\therefore \] \[x>y\] |
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