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
In Fig. 2, AB is the diameter of a circle with centre O and AT is a tangent. If ∠AOQ = 58°, find ∠ATQ.

In Fig. 1, QR is a common tangent to the given circles, touching externally at the point T. The tangent at T meets QR at P. If PT = 3.8 cm, then the length of QR (in cm) is :

(A) 3.8
(B) 7.6
(C) 5.7
(D) 1.9
PA and PB are tangents from P to the circle with centre O. At point M, a tangent is drawn cutting PA at K and PB at N. Prove that KN = AK + BN.
In fig., O is the centre of the circle, PA and PB are tangent segments. Show that the quadrilateral AOBP is cyclic.
In fig., circles C(O, r) and C(O’, r/2) touch internally at a point A and AB is a chord of the circle C (O, r) intersecting C(O’, r/2) at C, Prove that AC = CB.
In the fig. a circle is inscribed in a quadrilateral ABCD in which ∠B = 90° if AD = 23cm,
AB = 29cm and DS = 5cm, find the radius of the circle.
In the given figure, AB is a chord of length 16 cm of a circle of radius 10 cm. The tangents at A and B intersect at a point P. Find the length of PA.

In the given figure, AB is a side of a regular six-sided polygon and AC is a side of a regular eight-sided polygon inscribed in the circle with centre O. Calculate the sizes of:
- ∠AOB,
- ∠ACB,
- ∠ABC.

The length of three concesutive sides of a quadrilateral circumscribing a circle are 4 cm, 5 cm, and 7 cm respectively. Determine the length of the fourth side.
Choose correct alternative answer and fill in the blank.
Radius of a circle is 10 cm and distance of a chord from the centre is 6 cm. Hence the length of the chord is .........
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 ______.
Use the figure given below to fill in the blank:
R is the _______ of the circle.

Use the figure given below to fill in the blank:
If PQ is 8 cm long, the length of RS = ________

Mark two points A and B ,4cm a part, Draw a circle passing through B and with A as a center

In figure, chords AC and DE intersect at B. If ∠ABE = 108°, m(arc AE) = 95°, find m(arc DC).

In the given figure, point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm. Then the radius of the circle is ______
If a number of circles pass through the endpoints P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.
In the following figure, O is the centre of the circle, BD = OD and CD ⊥ AB. Find ∠CAB.

Is every chord of a circle also a diameter?
Which of the following describes the radius of a circle?
