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A vertex of common graph of inequalities...

A vertex of common graph of inequalities `2x+y ge 2` and `x-y le 3` , is

A

`(0,0)`

B

`((5)/(3),-(4)/(3))`

C

`((5)/(3),(4)/(3))`

D

`(-(4)/(3),(5)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
B
To find a common vertex of inequalities `2x+y ge 2 and x-yle 3`, solve the following equations
`2x+y=2`.......(i)
and `x-y=3`...(ii)
On solving Eqs. (i) and (ii) , we get
`x=(5)/(3) and y=-(4)/(3)` .
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