MCQ
How many circle can pass through three non$-$collinear points?
- AThree
- ✓One
- CTwo
- DFour
✓
Answer
Correct option: B.
One
Only one circle can be drawn from three distinct points.
Join any two sets of points.
Make their respective perpendicular bisectors.
The point where the two bisectors meet act as the centre of such a circle.
Taking the distance between the centre and any of the given points as radius, we can draw the circle.
Such a circle would definitely pass through the remaining two points as well.
Join any two sets of points.
Make their respective perpendicular bisectors.
The point where the two bisectors meet act as the centre of such a circle.
Taking the distance between the centre and any of the given points as radius, we can draw the circle.
Such a circle would definitely pass through the remaining two points as well.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The sides of a quadrilateral are extended in order to form 4 exterior angles. The sum of these exterior angles is:
If $h, S$ and $V$ denote respectively the height, curved surface area and volume of a right circular cone, then $3\pi\text{V}\text{h}^3-\text{S}^2\text{h}^2+\text{9V}^2$ is equal to:
→In $\triangle\text{ABC, AB = AC}$ and $\angle\text{B} = 50^\circ.$ Then $\angle\text{C}$ is equal to:
→Write the correct answer in the following: Which of the following is irrational?
Two circle are congruent if they have equal.
A line segment, when extended indefinitely in one direction is called $a:$
→If the volume and surface ares of a sphere are numerically equal, then its radius is
The surface area of a football is $100 \pi cm^2$. The volume of air in it is
→In Fig. $AOB$ is a straight line. If $\angle\text{AOC}+\angle\text{BOD}=85^\circ,$ then $\angle\text{COD}=$ 
→