Circle through Three Points
Circle through Three Points: Overview
This Topic covers sub-topics such as Concentric Circles, Circumcircle, Circumcentre, Circumradius, Common Chord of Two Circles, Intersection of Two Circles, Circle through Three Points, Common Points on Two Different Circles and, 4 Concyclic Points
Important Questions on Circle through Three Points
Two number of circles can be passing through three different non-collinear points.
Draw a pair of circles having two common points.
Maximum number of common points when two circles joined is
How many number of circles can be passing through three different non-collinear points.
Draw a pair of circles having one common point.
If the length of circum radius of a right angle triangle is then the length of hypotenuse is .
The centre of a system of concentric circle is same.
Perpendicular bisectors of the sides and of a triangle meet at . What is the relation between the distances and ?
Circles concentric to each other have different centres.
Draw two concentric circles of radius and . Construct a tangent to smaller circle from a point on the larger circle.
Two circles or more circles are called _____ circles if and only if they have same centre and different radii.
is the centre of a circle of radius . is any point in the circle such that is a point moving along the circumference such that , then what are the positions of the points and at these values?
is the centre of a circle of radius . is any point in the circle such that is a point moving along the circumference such that , then what are the minimum and maximum values of in cm ?
In the figure below, .
Which of these statements is true about quadrilateral ?
In the figure below, points and lie on the circle. and are bisectors of and respectively.
What is the sum of the measures of and ?
In the figure below, points and lie on the circle. and are bisectors of and respectively.
What is the sum of the measures of and ?
In the quadrilateral
below,.
The measure of . What is the measure of ?
In the figure below, and are points on the circle.
Which of these statements is true about quadrilateral ?
In the figure below, and are points on the circle.
.
What is the measure of ?
In the figure below, is the diameter of the circle. and are points on the circle. The measure of
What is the measure of ?