J P Mohindru and Bharat Mohindru Solutions for Chapter: Coordinate Geometry, Exercise 2: EXERCISE

If three consecutive vertices of a parallelogram are $(1,-2), (3, 6)$ and $(5, 10)$, find its fourth vertex.

The points $(3,-4)$ and $(-6, 2)$ are the extremities of a diagonal of a parallelogram. If the third vertex is $(-1,-3)$, find the coordinates of the fourth vertex.

Find the lengths of the medians of a $△ABC$ whose vertices are $A(0,-1),B(2,1)$ and $C(0,3)$.

Find the lengths of the medians of a $∆ABC$ whose vertices are: $\mathrm{A}(5, 1), \mathrm{B}(1, 5) \mathrm{and} \mathrm{C}(-3,-1)$

If $\mathrm{A}(-1,3), \mathrm{B}(1,-1)$ and $C\left(5,1\right)$ are the vertices of $∆ABC$, find the length of the median through $A$. (Answer in numerical value only)

If a vertex of a triangle be $(1, 1)$ and middle points of the sides through it be $(-2, 3) \mathrm{and} (5, 2)$, find the other vertices.

If the coordinates of the midpoints of the sides of a triangle are $(3, 4), (4, 6) \mathrm{and} (5, 7)$, find its vertices.

The line segment joining the points $(3,-4)$ and $(1, 2)$ is trisected at the points $\mathrm{P}$ and $\mathrm{Q}$. If the coordinates of $\mathrm{P}$ and $\mathrm{Q}$ are $(p,-2)$ and $\left(\frac{5}{3}, q\right)$ respectively, find the value of $p$ and $q$.