if-the-points-C-1-2-divides-internally-the-line-segment-joining-the-points-A-2-5-and-B-x-y-in-the-ratio-3-4-find-the-value-of-x-2-y-2-

Question Number 24181 by gopikrishnan005@gmail.com last updated on 14/Nov/17

i f t h e p o i n t s C (- 1, 2) d i v i d e s i n t e r n a l l y t h e l i n e s e g m e n t j o i n i n g t h e p o i n t s A (2, 5) a n d B (x, y) i n t h e r a t i o 3 : 4 f i n d t h e v a l u e o f x^{2} + y^{2}

Answered by mrW1 last updated on 14/Nov/17

\frac{- 1 - 2}{x - 2} = \frac{3}{3 + 4} = \frac{3}{7}

\Rightarrow 3 (x - 2) = 7 (- 1 - 2)

\Rightarrow x = - 5

\frac{2 - 5}{y - 5} = \frac{3}{3 + 4} = \frac{3}{7}

\Rightarrow 3 (y - 5) = 7 (2 - 5)

\Rightarrow y = - 2

\Rightarrow x^{2} + y^{2} = 25 + 4 = 29

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