The coordinates of the midpoint of the line segment joining the points $(20, 10)$ and $(6, 8)$ are:

  • A
    $(14, 2)$
  • B
    $(9, 13)$
  • C
    $(13, 9)$
  • D
    $(2, 14)$

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If $A(3, 5)$ and $B(7, 5)$,then the midpoint of $\overline{AB}$ is $\ldots \ldots \ldots \ldots .$

Area of $\Delta ABC$ is $\frac{3}{2}$. The $Y$-coordinate of its centroid is $8$ less than three times its $X$-coordinate. If $A$ is $(2, -3)$ and $B$ is $(3, -2)$,find the coordinates of $C$.

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State whether the following statement is true or false. Justify your answer.
The point $A (2,7)$ lies on the perpendicular bisector of the line segment joining the points $P (6,5)$ and $Q (0,-4)$.

If $P(4, -7)$ and $Q(-1, 5)$,then $PQ = \dots$

Find the value of $a$,if the distance between the points $A(-3, -14)$ and $B(a, -5)$ is $9$ units.

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