| Directions: In these questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option, [IBPS (PO/MT) 2015] |
| I. \[3{{x}^{2}}-7x+2=0\] |
| II. \[2{{y}^{2}}-9y+10=0\] |
A) If \[x>y\]
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 :
| I. \[3{{x}^{2}}-7x+2=0\] |
| \[\Rightarrow \]\[3{{x}^{2}}-6x-x+2=0\] |
| \[\Rightarrow \]\[3x\,\,(x-2)-1\,\,(x-2)=0\]\[\Rightarrow \]\[x=2,\]\[1/3\] |
| II. \[2{{y}^{2}}-9y+10=0\] |
| \[\Rightarrow \]\[2{{y}^{2}}-5y-4y+10=0\] |
| \[\Rightarrow \]\[y\,\,(2y-5)-2\,\,(2y-5)=0\]\[\Rightarrow \]\[y=5/2,2\] |
| \[\therefore \]\[y\ge x\] |
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