Advertisements
Advertisements
Question
Number of circles that can be drawn through three non-collinear points is
Options
1
0
2
3
Advertisements
Solution
Suppose we are given three non-collinear points as A, B and C
1. Join A and B.
2. Join B and C.
3. Draw perpendicular bisector of AB and BC which meet at O as centre of the circle.
So basically we can only draw one circle passing through three non-collinear points A, B and C.
APPEARS IN
RELATED QUESTIONS
Prove that the line segment joining the point of contact of two parallel tangents to a circle is a diameter of the circle.
Find the length of a tangent drawn to a circle with radius 5cm, from a point 13 cm from the center of the circle.
If the quadrilateral sides touch the circle prove that sum of pair of opposite sides is equal to the sum of other pair.
In the given figure ABC is an isosceles triangle and O is the centre of its circumcircle. Prove that AP bisects angle BPC .
The greatest chord of a circle is called its
In Fig. 8.78, there are two concentric circles with centre O. PRT and PQS are tangents to the inner circle from a point P lying on the outer circle. If PR = 5 cm, find the length of PS.
Find the length of the chord of a circle in the following when:
Radius is 1. 7cm and the distance from the centre is 1.5 cm
If d1, d2 (d2 > d1) be the diameters of two concentric circles and c be the length of a chord of a circle which is tangent to the other circle, then ______
The circumcentre of the triangle ABC is O. Prove that ∠OBC + ∠BAC = 90º.
From the figure, identify two points in the interior.
