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

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

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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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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
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

Two circles touch each other externally at P. AB is a common tangent to the circles touching them at A and B. The value of ∠ L APB is

(A) 30°

(B) 45°

(C) 60°

(D) 90°


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.


If from any point on the common chord of two intersecting circles, tangents be drawn to circles, prove that they are equal.


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.


If ΔABC is isosceles with AB = AC and C (0, 2) is the in circle of the ΔABC touching BC at L, prove that L, bisects BC.


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


Fill in the blank

Circles having the same centre and different radii are called ...........................circles.


PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. Find the lengths of TP and TQ.


In the given figure, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA ⊥ PB, then the length of each tangent is ______.


If O is the centre of a circle of radius r and AB is a chord of the circle at a distance r/2 from O, then ∠BAO =


From an external point P , tangents PA PB are drawn to a circle with centre O   . If  \[\angle PAB = {50}^o\] , then find  \[\angle AOB\]


In the given figure, common tangents PQ and RS to two circles intersect at A. Prove that PQ = RS.


Radius of a circle with centre O is 4 cm. If l(OP) = 4.2 cm, say where point P will lie.


Use the figure given below to fill in the blank:

AB is a ______ of the circle.


Draw circle with diameter:  6 cm

In above case, measure the length of the radius of the circle drawn.


Draw a circle of any radius. Show one diameter, one radius and one chord on that circle.


Find the radius of the circle

Diameter = 30 cm


In the following figure, tangents PQ and PR are drawn to a circle such that ∠RPQ = 30°. A chord RS is drawn parallel to the tangent PQ, then ∠RQS.

 


A point P is 13 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 12cm. Find the radius of the circle.


O is the circumcentre of the triangle ABC and D is the mid-point of the base BC. Prove that ∠BOD = ∠A.


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