Advertisements
Advertisements
Question
The point of concurrence of all angle bisectors of a triangle is called the ______.
Options
Centroid
Circumcentre
Incentre
Orthocentre
Advertisements
Solution
The point of concurrence of all angle bisectors of a triangle is called the incentre.
APPEARS IN
RELATED QUESTIONS
A point P is 26 cm away from O of circle and the length PT of the tangent drawn from P to the circle is 10 cm. Find the radius of the circle.
In the figure, a circle is inscribed in a quadrilateral ABCD in which ∠B = 90°. If AD = 23 cm, AB = 29 cm and DS = 5 cm, find the radius r of the circle.

true or false
Sector is the region between the chord and its corresponding arc.
In the given figure ABC is an isosceles triangle and O is the centre of its circumcircle. Prove that AP bisects angle BPC .

PQ is a chord of length 4.8 cm of a circle of radius 3 cm. The tangents at P and Q intersect at a point T as shown in the figure. Find the length of TP.

In the given figure, O is the centre of the circle and TP is the tangent to the circle from an external point T. If ∠ PBT = 30°, prove that BA : AT = 2 : 1.

In a cyclic quadrilateral ABCD, if m ∠A = 3 (m ∠C). Find m ∠A.
An equilateral triangle ABC is inscribed in a circle with centre O. The measures of ∠BOCis
AB and CD are common tangents to two circles of equal radii. Prove that AB = CD.
Length of a chord of a circle is 24 cm. If distance of the chord from the centre is 5 cm, then the radius of that circle is ______.
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
Suppose you are given a circle. Describe a method by which you can find the center of this circle.
Construct a triangle ABC with AB = 5 cm, ∠B = 60° and BC = 6. 4 cm. Draw the incircle of the triangle ABC.
Find the missing values in the following table for the circles with radius (r), diameter (d) and Circumference (C).
| radius (r) | diameter (d) | Circumference (C) |
| 24 m |
The length of tangent from an external point on a circle is always greater than the radius of the circle.
Prove that angle bisector of any angle of a triangle and perpendicular bisector of the opposite side if intersect, they will intersect on the circumcircle of the triangle.
If ABC is an equilateral triangle inscribed in a circle and P be any point on the minor arc BC which does not coincide with B or C, prove that PA is angle bisector of ∠BPC.
Is every diameter of a circle also a chord?
If an are subtends an angle of 90° at the centre of a circle, then the ratio of its length to the circumference of the circle is ______.
Which of the following describes the radius of a circle?
