Question

Find the coordinates of the point on x-axis which divides the line segment joining the points (2,3) and (5,-6) in the ratio 1 :2

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Points are (2,3) and (5,-6)}$

$\underline{\textsf{To find:}}$

$\textsf{The point on x-axis which divides the given points internally}$

$\textsf{in the ratio 1:2}$

$\underline{\textsf{Solution:}}$

$\textsf{Section formula:}$

$\boxed{\begin{minipage}{7cm} \textsf{The coordinates of the point which divides}\\\\\mathsf{(x_1,y_1)\;\&\;(x_2,y_2)}\;\textsf{internally in the ratio m:n are}\\\\\mathsf{(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n})} \end{minipage}}$

$\textsf{By section formula,}$

$\textsf{The required point on x axis is}$

$\mathsf{(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n})}$

$\mathsf{(\dfrac{1(5)+2(2)}{1+2},\dfrac{1(-6)+2(3)}{1+2})}$

$\mathsf{(\dfrac{5+4}{3},\dfrac{-6+6}{3})}$

$\mathsf{(\dfrac{9}{3},\dfrac{0}{3})}$

$\mathsf{(3,0)}$

$\underline{\textsf{Answer:}}$

$\textsf{The required point on x axis is (3,0)}$

Find more:

In what ratio is the line segment joining A(2,-3)&B(5,6) divided by x-axis also find the coordinate of the point of division.

https://brainly.in/question/7118881

Find the ratio in which the line segment joining the points (- 2 3) and (3 - 2) is divided by y axis​

https://brainly.in/question/14355682

Find the ratio in which the line segment joining the points (-3,10), and(6,-8) is divided by(-1,6)​

https://brainly.in/question/17730071

Answer 2

Answer:

here is your answer .hope it helps you