हिंदी

The point of concurrence of all angle bisectors of a triangle is called the ______. - Geometry

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प्रश्न

The point of concurrence of all angle bisectors of a triangle is called the ______.

विकल्प

  • Centroid

  • Circumcentre  

  • Incentre

  • Orthocentre

MCQ
रिक्त स्थान भरें
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उत्तर

The point of concurrence of all angle bisectors of a triangle is called the incentre.

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अध्याय 6: Circle - Problem Set 6 [पृष्ठ ८६]

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बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
अध्याय 6 Circle
Problem Set 6 | Q 1. (ii) | पृष्ठ ८६

संबंधित प्रश्न

Prove that the tangents at the extremities of any chord make equal angles with the chord.


Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at center.


In Fig below, PQ is tangent at point R of the circle with center O. If ∠TRQ = 30°. Find
∠PRS.


If PA and PB are tangents from an outside point P. such that PA = 10 cm and ∠APB = 60°. Find the length of chord AB.


In fig. there are two concentric circles with Centre O of radii 5cm and 3cm. From an
external point P, tangents PA and PB are drawn to these circles if AP = 12cm, find the
tangent length of BP.


Fill in the blank:

An arc is a ................ when its ends are the ends of a diameter.


In the given figure, two tangents RQ, and RP and RP are drawn from an external point R to the circle with centre O. If ∠PRQ =120° , then prove that OR = PR + RQ.


In the given figure, O is the centre of the circle. PA and PB are tangents. Show that AOBP  is cyclic quadrilateral.

 


A quadrilateral is drawn to circumscribe a circle. Prove that the sums of opposite sides are equal ?


A quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB + CD = AD + BC ?


An equilateral triangle ABC is inscribed in a circle with centre O. The measures of ∠BOCis


The figure given below shows a circle with center O in which diameter AB bisects the chord CD at point E. If CE = ED = 8 cm and EB = 4 cm,
find the radius of the circle.


Two concentric circles with center O have A, B, C, D as the points of intersection with the lines L shown in the figure. If AD = 12 cm and BC s = 8 cm, find the lengths of AB, CD, AC and BD.


State, if the following statement is true or false:

If the end points A and B of the line segment lie on the circumference of a circle, AB is a diameter.


Find the diameter of the circle

Radius = 8 cm


Given: A circle inscribed in a right angled ΔABC. If ∠ACB = 90° and the radius of the circle is r.

To prove: 2r = a + b – c


In the adjoining figure ‘O’ is the center of the circle, ∠CAO = 25° and ∠CBO = 35°. What is the value of ∠AOB?  


If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is ______.


AB is a chord of a circle with centre O. AOC is diameter of circle, AT is a tangent at A.

Write answers of the following questions:

  1. Draw the figure using the given information.
  2. Find the measures of ∠CAT and ∠ABC with reasons.
  3. Whether ∠CAT and ∠ABC are congruent? Justify your answer.

The circumcentre of a triangle is the point which is ______.


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