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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

The circle which passes through all the vertices of a triangle is called ______. - Geometry

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प्रश्न

The circle which passes through all the vertices of a triangle is called ______.

पर्याय

  • Circumcircle 

  • Incircle

  • Congruent circle 

  • Concentric circle

MCQ
रिकाम्या जागा भरा
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उत्तर

The circle which passes through all the vertices of a triangle is called circumcircle.

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

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

संबंधित प्रश्‍न

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


Prove that the line segment joining the point of contact of two parallel tangents to a circle is a diameter of the circle.


In the below fig. O is the centre of the circle. If ∠APB = 50°, find ∠AOB and ∠OAB.


In the following figure, AB is the diameter of a circle with centre O and CD is the chord with length equal to radius OA.

Is AC produced and BD produced meet at point P; show that ∠APB = 60°


From an external point P, tangents PA and PB are drawn to a circle with center O. If CD is the tangent to the circle at a point E and PA = 14cm, find the perimeter of ΔPCD.


In the given figure, O is the centre of a circle. PT and PQ are tangents to the circle from an external point P. If ∠TPQ = 70° , find the ∠TRQ.


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, a cradle inscribed in a triangle ABC touches the sides AB, BC and CA at points D, E and F respectively. If AB = 14cm, BC = 8cm and CA=12 cm. Find the length AD, BE and CF.


Two circles touch internally. The sum of their areas is 116 π cm2 and the distance between their centres is 6 cm. Find the radii of the circles ?


In the given figure, BDC is a tangent to the given circle at point D such that BD = 30 cm and CD = 7 cm. The other tangents BE and CF are drawn respectively from B and C to the circle and meet when produced at A making BAC a right angle triangle. Calculate (i) AF 


A triangle PQR is drawn to circumscribe a circle of radius 8 cm such that the segments QT and TR, into which QR is divided by the point of contact T, are of lengths 14 cm and 16 cm respectively. If area of ∆PQR is 336 cm2, find the sides PQ and PR.


In Fig. 8.78, there are two concentric circles with centre O. PRT and PQS are tangents to the inner circle from a point P lying on the outer circle. If PR = 5 cm, find the length of PS.


Use the figure given below to fill in the blank:

Diameter = 2 x ________


The ratio between the circumference and diameter of any circle is _______


In the figure, a circle with center P touches the semicircle at points Q and C having center O. If diameter AB = 10, AC = 6, then find the radius x of the smaller circle.


In the following figure, O is the centre of the circle, ∠BCO = 30°. Find x and y.


Draw any circle and mark

  1. it's centre
  2. a radius
  3. a diameter
  4. a sector
  5. a segment
  6. a point in its interior
  7. a point in its exterior
  8. an arc

If radius of a circle is 5 cm, then find the length of longest chord of a circle.


What is the area of a semi-circle of diameter ‘d’?


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.

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