The point which divides the line segment join | vedclass

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

Question

(D) If $P(x, y)$ divides the line segment joining $A(x_1, y_1)$ and $B(x_2, y_2)$ internally in the ratio $m: n$,then the coordinates are given by the

Vedclass · Accepted Answer

$IV$ quadrant

Vedclass · Answer

(D) If $P(x, y)$ divides the line segment joining $A(x_1, y_1)$ and $B(x_2, y_2)$ internally in the ratio $m: n$,then the coordinates are given by the section formula:$x = \frac{mx_2 + nx_1}{m + n}$ and $y = \frac{my_2 + ny_1}{m + n}$Given that $x_1 = 7, y_1 = -6, x_2 = 3, y_2 = 4, m = 1$ and $n = 2$.Substituting these values into the section formula:$x = \frac{1(3) + 2(7)}{1 + 2} = \frac{3 + 14}{3} = \frac{17}{3}$$y = \frac{1(4) + 2(-6)}{1 + 2} = \frac{4 - 12}{3} = -\frac{8}{3}$Thus,the point is $(\frac{17}{3}, -\frac{8}{3})$.Since the $x$-coordinate is positive and the $y$-coordinate is negative,the point lies in the $IV$ quadrant.

The point which divides the line segment joining the points $(7, -6)$ and $(3, 4)$ in the ratio $1: 2$ internally lies in the

Similar Questions

The mid-point of the line segment joining the points $A(-2, 8)$ and $B(-6, -4)$ is

If $P(1, 12)$ divides the line segment $\overline{AB}$ starting from $A$ in the ratio $2:1$ and $A(3, 8)$,then the coordinates of $B$ are $\ldots \ldots$

In which ratio and at which point does the $Y$-axis divide the line segment joining $A (-2, 4)$ and $B (1, 1)$ from $A$?

If three vertices of a parallelogram $ABCD$ are $A(1, 2)$,$B(2, 1)$,and $C(3, -4)$,then the coordinates of $D$ are.............

The coordinates of the midpoint of a line segment joining $A (3, -2)$ and $B (-1, 4)$ are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module