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Triangle in Rectangular Cartesian Coordinates

The vertices ...

Question

The vertices of a triangle are (2,0) (0,2) (4,6) then the equation of the median through the vertex (2,0) is

A

x+y-2=0

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B

x=2

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C

x+2y-2=0

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D

2x+y-4=0

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Solution

The correct option is B
x=2

Midpoint of (0,2) and (4,6) is (2,4).

$∴$ Required line passes through (2,0) and (2,4) clearly required line equation is x=2

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