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

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

Ayush starts walking from his house to his office. Instead of going to the office directly,he goes to a bank first,from there to his daughter's school,and then reaches the office. What is the extra distance travelled by Ayush in reaching his office (in $, km$)? (Assume that all distances covered are in straight lines).
If the house is situated at $(2,4)$,the bank at $(5,8)$,the school at $(13,14)$,and the office at $(13,26)$,where coordinates are in $km$.

The coordinates of the midpoint of the line segment joining $(8, 10)$ and $(4, 8)$ are ..............

Name the type of triangle formed by the points $A (-5, 6)$,$B (-4, -2)$,and $C (7, 5)$.

$P(x_{1}, y_{1})$ and $Q(x_{2}, y_{2})$ are the given points. If $\overline{PQ}$ is parallel to the $Y$-axis,then $PQ = \dots$