Tamil Nadu Board Solutions for Chapter: Coordinate Geometry, Exercise 14: Exercise

If the coordinates of one end of a diameter of a circle is $(3,4)$and the coordinates of its center is $(-3,2),$ then the coordinate of the other end of the diameter is

The ratio in which the $x-$axis divides the line segment joining the points $A\left(a_1\right.b_1)$ and $B\left(a_2,b_2\right)$ is

The ratio in which the $\mathrm{x}-$axis divides the line segment joining the points $(6,4)$ and$(1,-7)$ is

If the coordinates of the midpoints of the sides $AB, BC$ and $CA$ of a triangle are $(3,4), (1,1)$ and $(2,-3)$respectively, then the vertices $A$ and $B$ of the triangle are

The mid-point of the line joining $(-\mathrm{a}, 2\mathrm{b})$ and $(-3 \mathrm{a},-4\mathrm{b})$ is

In what ratio does the $y-$axis divide the line joining the points$(-5,1)$ and $\left(2,3\right)$ internally

If $(1,-2),(3,6),(x, 10)$ and $(3,2)$ are the vertices of the parallelogram taken in order, then the value of $x$ is

Show that the points $A\left(7, 10\right), B\left(-2, 5\right), C\left(3, -4\right)$ are the vertices of a right angled triangle.