Prove that the maximum number of points with rational coordinates on a circle whose center is `(sqrt(3),0)` is two.

Find the maximum number of points of intersection of 6 circles.

Le n be the number of points having rational coordinates equidistant from the point (0,sqrt3) , the

The maximum number of tangents that can be drawn to a circle from a point outside it is…………

Find the maximum number of points of intersection of 7 straight lines and 5 circles when 3 straight lines are parallel and 2 circles are concentric

Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, -3) and B is (1, 4).

Prove that any three points on a circle cannot be collinear.

Classify the following number as rational or irrational . 0.8bar3

Prove that a line cannot intersect a circle at more two points .

Classify the following number as rational or irrational . sqrt11