Check whether the circle with centre at the point (2,4) and radius 5 unit passes through the point (2,0).

Find the equation of the circle whose centre is (-1,5) and which passes through the point (4,-3) .

Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2,3).

Find the equation of the circle with centre at the origin and radius '5 .' Write the coordinates of eight points on this circle.

Centre at (0,0), major axis on the y-axis and passes through the points (3,2) and (1,6).

Find the equation of the circle with centre (2,2) and passing through the point(4,5).

Find the equation of the line passing through the point (-3,5) and perpendicular to the line through the points (2,5) and (-3,6).

A ray of light passing through the point (1,2) reflects on the x -axis at point A and the reflected ray passes through the point (5,3) . Find the coordinates of A .

The centre of the circle is thé origin and the radius is 13. a) . Check whether each of the points '(12,5),(10,6)' is inside, outside or on the circle. b) Write the coordintes of two other points on the circle.