M L Aggarwal Solutions for Chapter: Coordinate Geometry, Exercise 6: Multiple Choice Questions

The point which divides the line segment joining the points $\left(7, -6\right)$ and $\left(3, 4\right)$ in the ratio $1:2$ internally lies in the 

The point on the $x-$axis which is equidistant from the points $A\left(-2, 3\right)$ and $B\left(5, 4\right)$ is

The ratio in which the $x-$axis divides the line segment joining the points $A\left(3, 6\right)$ and $B\left(9, -3\right)$ is

The perpendicular bisector of the line segment joining the points $A(1, 5)$ and $B(4, 6)$ cut the $y-$axis at

The centroid of a triangle whose vertices are $\left(3, -7\right), \left(-8, 6\right)$ and $\left(5, 10\right)$ is 

The area $\left(in square units\right)$ of the triangle formed by the points $A\left(5, 2\right), B\left(4, 7\right)$ and $C\left(7, -4\right)$ is 

If the points $A\left(1, 2\right), O\left(0, 0\right)$ and $C\left(a, b\right)$ are collinear, then

If the centroid of a triangle whose vertices are $A\left(a, b\right), B\left(b, c\right)$ and $C\left(c, a\right)$, then $a^3+b^3+c^3=$