Home › UP Board Class 10 › mathematics › Coordinate Geometry › The coordinates of the point dividing the line j…
The coordinates of the point dividing the line joining $(x_1,y_1)$ and $(x_2,y_2)$ internally in the ratio m:n are:
A$\left(\dfrac{mx_1+nx_2}{m+n},\ \dfrac{my_1+ny_2}{m+n}\right)$
B$\left(\dfrac{mx_2+nx_1}{m+n},\ \dfrac{my_2+ny_1}{m+n}\right)$
C$\left(\dfrac{x_1+x_2}{m+n},\ \dfrac{y_1+y_2}{m+n}\right)$
D$\left(\dfrac{mx_2-nx_1}{m-n},\ \dfrac{my_2-ny_1}{m-n}\right)$
Answer & Solution
Correct answer: B. $\left(\dfrac{mx_2+nx_1}{m+n},\ \dfrac{my_2+ny_1}{m+n}\right)$
Section formula (internal, ratio m:n): ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n)).
Related questions
The area of the triangle whose vertices are (1, 2), (-4, -3) and (4, 1) is:A triangle is formed by the vertices (4,1), (1,1) and (3,5). The triangle is:The coordinates of the origin are:The distance of the point $(-3,4)$ from the origin is:The point dividing the segment from $(1,1)$ to $(4,7)$ in the ratio 1:2 is:The distance between the points $(a,b)$ and $(-a,-b)$ is:The x-coordinate of any point lying on the y-axis is:The y-coordinate of any point lying on the x-axis is: