Math, asked by ayushupadhyay7, 11 months ago

The point which divides the line segment joining the points (3,-2) and (-5,-4)
in ratio 1:2 internally lies in which quadrant​

Answers

Answered by abc512
2

Answer:

i think 4th quadrant ........

Answered by ColinJacobus
6

\fontsize{18}{10}{\textup{\textbf{The point lies in the 4th quadrant.}}}

Step-by-step explanation:

We know that

the co-ordinates of the point that divides the joining of the line segment with end points (a, b) and (c, d) internally in the ratio m : n are

\left(\dfrac{mc+na}{m+n},\dfrac{md+nb}{m+n}\right).

So, the co-ordinates of the point which divides the line segment joining the points (3,-2) and (-5,-4)  in ratio 1 : 2 internally are

\left(\dfrac{1\times(-5)+2\times3}{1+2},\dfrac{1\times(-4)+2\times(-2)}{1+2}\right)\\\\\\=\left(\dfrac{-5+6}{3},\dfrac{-4-4}{3}\right)\\\\\\=\left(\dfrac{1}{3},-\dfrac{8}{3}\right).

Since the x co-ordinate is positive and y co-ordinate is negative, so the point lies in the 4th quadrant.

Thus, the point lies in the 4th quadrant.

#Learn more

Question : Find the point which divides the line segment joining the points (3,5) and (8,10) internally in the ratio 5 : 6.

Link : https://brainly.in/question/8552868.​

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