Y- axis divides the line segment joining A(-3 | vedclass

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

Question

(C) Let the $Y-$ axis divide the line segment joining $A(-3, -4)$ and $B(1, -2)$ in the ratio $m:n$ at point $M(0, y)$.Since the point lies on the $Y-

Vedclass · Accepted Answer

$3:1$

Vedclass · Answer

(C) Let the $Y-$ axis divide the line segment joining $A(-3, -4)$ and $B(1, -2)$ in the ratio $m:n$ at point $M(0, y)$.Since the point lies on the $Y-$ axis,its $x-$ coordinate is $0$.Using the section formula for the $x-$ coordinate: $x = \frac{mx_2 + nx_1}{m + n}$.Substituting the values: $0 = \frac{m(1) + n(-3)}{m + n}$.This implies $m - 3n = 0$,which gives $m = 3n$.Therefore,the ratio $\frac{m}{n} = \frac{3}{1}$,or $m:n = 3:1$.

$Y-$ axis divides the line segment joining $A(-3, -4)$ and $B(1, -2)$ from $A$ in the ratio............

Similar Questions

If the vertices of $\Delta ABC$ are $A(x_{1}, y_{1})$,$B(x_{2}, y_{2})$,and $C(x_{3}, y_{3})$,then the centroid of $\Delta ABC$ is........

If the centroid of the triangle with vertices $(-5, 3), (a, -1), (6, b)$ is $(1, -1)$,then find the values of $a$ and $b$.

Find the area of the triangle whose vertices are $(-8, 4), (-6, 6)$ and $(-3, 9).$

Points $A$ and $B$ have coordinates $(2, 2)$ and $(6, 6)$. Find the coordinates of a point $P$ such that $PA = PB$ and the area of $\Delta PAB = 4$.

Find the circumcentre of the triangle with vertices $(0,0), (3,4), \text{and } (0,4)$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module