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Section Formula

The point -17...

Question

The point (-17, -10) divides the line joining J(-8, -4), L(1, 2) in ratio $=$ 1:2.
If true then enter $1$ and if false then enter $0$

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Solution

$L e t t h e c o - o r d i n a t e s o f t h e p o i n t P b e P (x, y) w h i c h d i v i d e s t h e l i n e s e g m e n t J L j o i n i n g t h e p o i n t s J (x_{1}, y_{1}) = (- 8, - 4) & L (x_{2}, y_{2}) = (1, 2) i n t h e r a t i o m : n = 1 : 2. T h e n, b y t h e s e c t i o n f o r m u l a, x = \frac{n x_{1} - m x_{2}}{n - m} = \frac{2 \times (- 8) - 1 \times 1}{2 - 1} = - 17 a n d y = \frac{n y_{1} - m y_{2}}{n - m} = \frac{2 \times (- 4) - 1 \times 2}{5 - 3} = - 10 ∴ P (x, y) = P (17, - 10) . A n s - P (x, y) = P (- 17, - 10) .$

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