Advertisements
Advertisements
Question
Number of circles that can be drawn through three non-collinear points is
Options
1
0
2
3
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
In fig. a circle touches all the four sides of quadrilateral ABCD with AB = 6cm, BC = 7cm, CD = 4cm. Find AD.
In the given figure, PO⊥QO. The tangents to the circle at P and Q intersect at a point T. Prove that PQ and OT are right bisector of each other.
In the given figure, a triangle ABC is drawn to circumscribe a circle of radius 3 cm such that the segments BC and DC into which BC is divided by the point of contact D, are of
lengths 6cm and 9cm respectively. If the area of 2 ΔABC = 54cm2 then find the lengths of sides AB and AC.
In the given figure, a cradle inscribed in a triangle ABC touches the sides AB, BC and CA at points D, E and F respectively. If AB = 14cm, BC = 8cm and CA=12 cm. Find the length AD, BE and CF.
In fig. 3 are two concentric circles of radii 6 cm and 4 cm with centre O. If AP is a tangent to the larger circle and BP to the smaller circle and length of AP is 8 cm, find the length of BP ?
From an external point P , tangents PA = PB are drawn to a circle with centre O . If \[\angle PAB = {50}^o\] , then find \[\angle AOB\]
AB is a chord of a circle with centre O , AOC is a diameter and AT is the tangent at A as shown in Fig . 10.70. Prove that \[\angle\]BAT = \[\angle\] ACB.
The circle which passes through all the vertices of a triangle is called ______.
If all the sides of a parallelogram touch a circle, show that the parallelogram is a rhombus.
In the following figure, if ∠ABC = 20º, then ∠AOC is equal to ______.
