R S Aggarwal and Veena Aggarwal Solutions for Exercise 2: Exercise 6B

If the points $P(a, -11), Q(5, b), R(2, 15)$ and $S(1, 1)$ are the vertices of a parallelogram $PQRS$, find the value of $a+b$.

If three consecutive vertices of a parallelogram$ABCD$ are $A(1, -2), B(3, 6)$ and $C(5, 10)$, find the sum of coordinates of its fourth vertex $D$.

In what ratio does $y$-axis divide the line segment joining the points $(-4, 7)$and $(3, -7) ?$ 

The midpoint $P$ of the line segment joining the points $A(-10, 4)$and $B(-2, 0)$ lies on the line segment joining the points $C(-9,-4)$and $D(-4, y)$. If the ratio in which $P$ divides $CD$ is $k:1$, find the value of $y$.

A line intersects the $y$-axis and $x$-axis at the points $P$ and $Q$ respectively. If $(2, –5)$ is the midpoint of$PQ$, then find the coordinates of $P$ and $Q$.

The midpoints of the sides $BC\mathit{,}\mathit{ }CA\mathit{ }$and $AB$of a$\Delta ABC$ are $D(3, 4), E(8, 9)$ and $F(6, 7)$ respectively. Find the coordinates of the vertices of the triangle.

The midpoints of the sides $BC\mathit{,}\mathit{ }CA$ and $AB$ of a $\Delta ABC$ are $D(3, 4), E(8, 9)$ and $F(6, 7)$ respectively. Find the coordinates of the vertices of the triangle.

If two adjacent vertices of a parallelogram are $(3, 2)$ and $(–1, 0)$ and the diagonals intersect at $(2, –5)$, then find the sum of abscissa of the coordinates of other two vertices.