A - M - B and if frac{AM}{AB} = frac{3}{5},th | vedclass

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

Question

(C) Given that $A - M - B$,the point $M$ lies on the line segment $AB$.We are given the ratio $\frac{AM}{AB} = \frac{3}{5}$.Since $AB = AM + MB$,we ca

Vedclass · Accepted Answer

$3:2$

Vedclass · Answer

(C) Given that $A - M - B$,the point $M$ lies on the line segment $AB$.We are given the ratio $\frac{AM}{AB} = \frac{3}{5}$.Since $AB = AM + MB$,we can substitute this into the equation:$\frac{AM}{AM + MB} = \frac{3}{5}$.By cross-multiplying or comparing the parts,we get $5(AM) = 3(AM + MB)$.$5(AM) = 3(AM) + 3(MB)$.$2(AM) = 3(MB)$.Therefore,$\frac{AM}{MB} = \frac{3}{2}$.Thus,the point $M$ divides the segment $AB$ in the ratio $3:2$ internally.

$A - M - B$ and if $\frac{AM}{AB} = \frac{3}{5}$,then $M$ divides $\overline{AB}$ from $A$ in the internal division ratio......

Similar Questions

Find the coordinates of a point $A,$ where $AB$ is the diameter of a circle whose centre is $(2,-3)$ and $B$ is $(1,4).$

If $A (-2,-1)$ and $B (7,8),$ then find the coordinates of the trisection points of $\overline{ AB }$.

Find the coordinates of the point $R$ on the line segment joining the points $P(-1, 3)$ and $Q(2, 5)$ such that $PR = \frac{3}{5} PQ$.

In which ratio does the point $P (2, b)$ divide the line segment joining $A (1, 2)$ and $B (4, 5)$ from $A$? Also,find the value of $b$.

$A$ line intersects the $y$-axis and $x$-axis at the points $P$ and $Q$,respectively. If $(2, -5)$ is the mid-point of $PQ$,then the coordinates of $P$ and $Q$ are,respectively:

Vedclass Test Series

Exam Paper Generator

Online Exam Module