**Assertion (A):** Mid-point of a line segment divides the line segment in the ratio $1 : 1$.

**Reason (R):** The ratio in which the point $(-3, k)$ divides the line segment joining the points $(-5,

Question

**Assertion (A):** Mid-point of a line segment divides the line segment in the ratio $1 : 1$.

**Reason (R):** The ratio in which the point $(-3, k)$ divides the line segment joining the points $(-5, 4)$ and $(-2, 3)$ is $1 : 2$.

Accepted Answer

Step 1: A is true (midpoint divides in $1:1$). For R: Using section formula, $-3 = \frac{m(-2) + n(-5)}{m+n}$. Solving: $m = 2n$, ratio is $2:1$, not $1:2$. R is false.

Question

Solution