Advertisements
Advertisements
Question
Through three collinear points a circle can be drawn.
Options
True
False
Advertisements
Solution
This statement is False.
Explanation:
Because, circle can pass through only two collinear points but not through three collinear points.
APPEARS IN
RELATED QUESTIONS
Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points?
Suppose you are given a circle. Give a construction to find its centre.
If two circles intersect at two points, prove that their centres lie on the perpendicular bisector of the common chord.
Fill in the blank:
All points lying inside/outside a circle are called .................. points/ .....................points.
true or false
Line segment joining the centre to any point on the circle is a radius of the circle,
Give a method to find the centre of a given circle.
Prove that any three points on a circle cannot be collinear.
Choose the correct alternative:
If the points, A, B, C are non-collinear points, then how many circles can be drawn which passes through points A, B, and C?

In the above figure, the circles with P, Q, and R intersect at points B, C, D, and E as shown. Lines CB and ED intersect in point M. Lines are drawn from point M to touch the circles at points A and F. Prove that MA = MF.
How many circles can be drawn passing through a point?
