Kerala Board Solutions for Chapter: Coordinates, Exercise 6: Exercise 3

Without drawing coordinate axes, mark each pair of points below with left-right, top-bottom position correct. Find the other coordinates of the rectangles drawn with these as opposite vertices and sides parallel to the axes.

$\left(-3,5\right), \left(-7,1\right)$

Without drawing coordinate axes, mark each pair of points below with left-right, top-bottom position correct. Find the other coordinates of the rectangles drawn with these as opposite vertices and sides parallel to the axes.

$\left(-1,-2\right), \left(-5,-4\right)$

 Calculate the length of the sides and diagonals of the quadrilateral.

Prove that by joining the points $(2, 1), (3, 4), (-3, 6)$ we get a right triangle.

A circle of radius $10$ is drawn with the origin as centre. Check whether each of the points with coordinates $(6, 9), (5, 9), (6, 8)$ is inside, outside or on the circle.

A circle of radius $10$ is drawn with the origin as centre. Write the coordinates of $8$ points on this circle.

Find the coordinates of the points where a circle of radius $\surd 2$, centred on the point with coordinates $(1, 1)$ cuts the axes.