Advertisements
Advertisements
प्रश्न
Number of circles that can be drawn through three non-collinear points is
विकल्प
1
0
2
3
Advertisements
उत्तर
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
संबंधित प्रश्न
If PT is a tangent at T to a circle whose center is O and OP = 17 cm, OT = 8 cm. Find the length of tangent segment PT.
A point P is 25 cm away from the center of a circle and the length of tangent drawn from P to the circle is 24 cm. Find the radius of the circle.
In the given figure, PA and PB are two tangents to the circle with centre O. If ∠APB = 50° then what is the measure of ∠OAB.

In the given figure, a circle inscribed in a triangle ABC touches the sides AB, BC and CA at points D, E and F respectively. If AB = 14 cm, BC = 8 cm and CA = 12 cm. Find the lengths AD, BE and CF.

In the given figure, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA ⊥ PB, then the length of each tangent is ______.

On a semi-circle with AB as diameter, a point C is taken, so that m (∠CAB) = 30°. Find m(∠ACB) and m (∠ABC).
A part of circumference of a circle is called as _______
If a chord AB subtends an angle of 60° at the centre of a circle, then angle between the tangents at A and B is also 60°.
In the following figure, O is the centre of the circle, ∠BCO = 30°. Find x and y.

In the following figure, O is the centre of the circle. Shade sectors OAC and OPB.

