If the point dividing internally the line seg | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Using the section formula for internal division,the coordinates of the point dividing the segment joining $(x_1, y_1)$ and $(x_2, y_2)$ in the rat

Vedclass · Accepted Answer

$a = 2, b = 4$

Vedclass · Answer

(C) Using the section formula for internal division,the coordinates of the point dividing the segment joining $(x_1, y_1)$ and $(x_2, y_2)$ in the ratio $m:n$ are given by $\left( \frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n} \right)$.Given points are $(a, b)$ and $(5, 7)$ with ratio $2:1$ and the dividing point is $(4, 6)$.For the $x$-coordinate: $\frac{2(5) + 1(a)}{2 + 1} = 4$ $\Rightarrow \frac{10 + a}{3} = 4$ $\Rightarrow 10 + a = 12$ $\Rightarrow a = 2$.For the $y$-coordinate: $\frac{2(7) + 1(b)}{2 + 1} = 6$ $\Rightarrow \frac{14 + b}{3} = 6$ $\Rightarrow 14 + b = 18$ $\Rightarrow b = 4$.Thus,$a = 2$ and $b = 4$.

If the point dividing internally the line segment joining the points $(a, b)$ and $(5, 7)$ in the ratio $2 : 1$ is $(4, 6)$,then

Similar Questions

Point $A$ divides the line segment joining points $(-5, 1)$ and $(3, 5)$ in the ratio $k:1$. If the coordinates of points $B$ and $C$ are $(1, 5)$ and $(7, -2)$ respectively,and the area of $\Delta ABC$ is $2$ square units,what is the value of $k$?

The point dividing the line segment joining $(3, -2, 1)$ and $(-2, 3, 11)$ in the ratio $2:3$ is

If $A(4,3,2), B(5,4,6), C(-1,-1,5)$ are the vertices of a triangle, then the coordinates of the point in which the bisector of the angle $A$ meets the side $BC$ is

Given that $P(3, 2, -4)$,$Q(5, 4, -6)$,and $R(9, 8, -10)$ are collinear. Find the ratio in which $Q$ divides $PR$.

Find the coordinates of the point which divides the line segment joining the points $(1, -2, 3)$ and $(3, 4, -5)$ in the ratio $2:3$ externally.

Vedclass Test Series

Exam Paper Generator

Online Exam Module