If middle points of sides BC,, CA and AB of triangle ABC be (1, 3), ,(5, 7) and (-5, 7) , then equat

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9.Straight Line

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If the middle points of the sides $BC,\, CA$ and $AB$ of the triangle $ABC$ be $(1, 3), \,(5, 7)$ and $(-5, 7)$, then the equation of the side $AB$ is

A

$x - y - 2 = 0$

B

$x - y + 12 = 0$

C

$x + y - 12 = 0$

D

None of these

Solution

(b) Slope of $DE = \frac{{7 – 3}}{{5 – 1}} = 1 \Rightarrow $ Slope of $AB = 1$

Hence equation of $AB$ is $y – 7 = (x + 5) \Rightarrow x – y + 12 = 0$.

Standard 11

Mathematics

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