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प्रश्न
ABC is a triangle whose vertices are A(1, –1), B(0, 4) and C(– 6, 4). D is the midpoint of BC. Find the equation of the median AD.
उत्तर
Equation of median AD
y – y1 = `(y_2 - y_1)/(x_2 - x_1) (x - x_1)`
`\implies` y – (–1) = `(4 - (-1))/(-3 - 1) (x - 1)`
`\implies` y + 1 = `5/-4 (x - 1)`
`\implies` – 4y – 4 = 5x – 5
i.e. 5x + 4y = 1
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