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Median of Triangle

If the vertic...

Question

If 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).

Equation of the required line is x = 2.

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