A point P(5, -1) divides the line segment joi | vedclass

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

Question

(C) Let the coordinates of point $B$ be $(x, y)$.Given that point $P(5, -1)$ divides the segment $AB$ in the ratio $m:n = 2:3$.Using the section formu

Vedclass · Accepted Answer

$(-4, 2)$

Vedclass · Answer

(C) Let the coordinates of point $B$ be $(x, y)$.Given that point $P(5, -1)$ divides the segment $AB$ in the ratio $m:n = 2:3$.Using the section formula,the coordinates of $P$ are given by:$P = \left( \frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n} \right)$Substituting the values:$5 = \frac{2(x) + 3(11)}{2+3} \implies 5 = \frac{2x + 33}{5} \implies 25 = 2x + 33 \implies 2x = -8 \implies x = -4$$-1 = \frac{2(y) + 3(-3)}{2+3} \implies -1 = \frac{2y - 9}{5} \implies -5 = 2y - 9 \implies 2y = 4 \implies y = 2$Therefore,the coordinates of point $B$ are $(-4, 2)$.

$A$ point $P(5, -1)$ divides the line segment joining points $A(11, -3)$ and $B(x, y)$ in the ratio $2:3$. Find the coordinates of point $B$.

Similar Questions

If the $x$-coordinate of a point $P$ on the line joining the points $Q(2,2,1)$ and $R(5,1,-2)$ is $4$, then the $z$-coordinate of $P$ is

Find the coordinates of the points which trisect the line segment joining the points $A(2, 1, -3)$ and $B(5, -8, 3)$.

Using the section formula,prove that the three points $A(-4, 6, 10)$,$B(2, 4, 6)$,and $C(14, 0, -2)$ are collinear.

Find the coordinates of the point which divides the line segment joining the points $(-2, 3, 5)$ and $(1, -4, 6)$ in the ratio $2:3$ internally.

The point $\left( \frac{1}{2}, -\frac{13}{4} \right)$ divides the line segment joining the points $(3, -5)$ and $(-7, 2)$ in the ratio of:

Vedclass Test Series

Exam Paper Generator

Online Exam Module