Through three collinear points a circle can be drawn. Is the given statement true or false and justify your answer

Solution:

Consider the figure

We know that

A circle can be drawn only through two collinear points.

Therefore, the statement is false.

✦ Try This: If ∠ABC = 30º, then ∠AOC is equal to:

We know that

Angle at the centre of the circle is twice the angle at the circumference subtended by the same arc.

∠AOC = 2 ∠ABC

It is given that

∠ABC = 30º

Substituting the values

∠AOC = 2 × 30º

∠AOC = 60º

Therefore, ∠AOC is equal to 60º.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 10

NCERT Exemplar Class 9 Maths Exercise 10.2 Problem 4

Through three collinear points a circle can be drawn. Is the given statement true or false and justify your answer

Summary:

The statement “Through three collinear points a circle can be drawn” is false

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