D.K. Ramesh Kumar and C. V. Jayanna Solutions for Chapter: Coordinate System - Locus, Exercise 1: Exercise 1

The points $\left(3, 4\right), \left(4, 1\right),\left(2, 1\right)$ are the vertices of:

The points $\left(2, 1\right),\left(4, 3\right), \left(2, 5\right), \left(0, 3\right)$ form of:

The centre of the circle passing through $\left(9, 3\right), \left(7,-1\right), \left(-1,3\right)$ is:

The ratio in which the line joining the points $\left(2, -3\right)$ and $\left(5, 7\right)$ is divided by y-axis is:

If $\left(1, 4\right),\left( 4, 7\right), \left(5, 4\right)$ are the three vertices of a parallelogram taken in order then the fourth vertex is:

The area of the triangle whose vertices are $\left(1, -1\right), \left(2, 0\right), \left(0, 4\right)$ in square units is:

The centroid of the triangle whose vertices are $\left(a, b+c\right), \left(c, b-c\right), \left(-a, c\right)$ is:

In what ratio does the point $\left(-1, -1\right)$ divide the line segment joining $\left(-5, -3\right)$ and $\left(5, 2\right)?$