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Find the coordinates of the point which divides the join of (-

Question

Find the coordinates of the point which divides the join of $(- 1, 7)$ and $(4, - 3)$ in the ratio $2 : 3$ .

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Find the coordinates of the point which divides the join of

(- 1, 7)

and

(4, - 3)

in the ratio

2 : 3

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

Let the co-ordinates of

P

(x, y)

∴ x = \frac{m _{1} x _{2} + m _{2} x _{1}}{m _{1} + m _{2}}

Here

m_{1} = 2, m_{2} = 3, x_{1} = - 1, x_{2} = 4

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

\Rightarrow x = \frac{8 - 3}{5} = \frac{5}{5} = 1

and

y = \frac{m _{1} y _{2} + m _{2} y _{1}}{m _{1} + m _{2}}

Here

y_{1} = 7, y_{2} = - 3

\Rightarrow y = \frac{2 \times - 3 + 3 \times 7}{2 + 3}

\Rightarrow y = \frac{- 6 + 21}{5} = \frac{15}{5} = 3

∴ P = (1, 3)

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Question Text	Find the coordinates of the point which divides the join of $(- 1, 7)$ and $(4, - 3)$ in the ratio $2 : 3$ .
Answer Type	Text solution:1
Upvotes	150