$A (2, 3), B (x, y)$ and if $C (3, 4)$ divides $A B$ in the ratio $1 : 5$ internally then point B is

(8, 9)

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(8, - 9)

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(- 8, 9)

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(- 8, - 9)

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Solution

The correct option is A $(8, 9)$

$3 = (\frac{1 \cdot x + 5 \cdot 2}{1 + 5}) 18 = x + 10 ∴ x = 18 a n d 4 = (\frac{1 \cdot y + 3 \cdot 5}{1 + 5}) 24 = y + 15 o r y = 24 - 15 = 9 ∴ p o i n t B (8, 9)$

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