English
Maharashtra State BoardSSC (English Medium) 9th Standard

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

Advertisements
Advertisements

Question

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

Options

  • Circumcircle 

  • Incircle

  • Congruent circle 

  • Concentric circle

MCQ
Fill in the Blanks
Advertisements

Solution

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

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Circle - Problem Set 6 [Page 86]

APPEARS IN

Balbharati Mathematics 2 [English] Standard 9 Maharashtra State Board
Chapter 6 Circle
Problem Set 6 | Q 1. (iii) | Page 86

RELATED QUESTIONS

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


In Fig., if AB = AC, prove that BE = EC


Write True or False. Give reasons for your answers.

If a circle is divided into three equal arcs, each is a major arc.


If PT is a tangent at T to a circle whose center is O and OP = 17 cm, OT = 8 cm. Find the length of tangent segment PT.


In figure OQ : PQ = 3 : 4 and perimeter of ΔPDQ = 60cm. determine PQ, QR and OP.


Tangents PA and PB are drawn from an external point P to two concentric circles with centre O and radii 8 cm and 5 cm respectively, as shown in Fig. 3. If AP = 15 cm, then find the length of BP.


In figure 1, O is the centre of a circle, PQ is a chord and PT is the tangent at P.

If ∠POQ = 70°, then ∠TPQ is equal to


In a cyclic quadrilateral ABCD if AB || CD and ∠B = 70°, find the remaining angles.

 

Construct a triangle XYZ in which XY = YZ= 4.5 cm and ZX = 5.4 cm. Draw the circumcircle of the triangle and measure its circumradius.


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


In the figure, segment PQ is the diameter of the circle with center O. The tangent to the tangent circle drawn from point C on it, intersects the tangents drawn from points P and Q at points A and B respectively, prove that ∠AOB = 90°


In the given figure, if ZRPS = 25°, the value of ZROS is ______ 

 


If the angle between two radii of a circle is 130°, then the angle between the tangents at the ends of the radii is ______


In figure, AB is a chord of the circle and AOC is its diameter such that ∠ACB = 50°. If AT is the tangent to the circle at point A, then ∠BAT is equal to ______.


AB is a diameter of a circle and AC is its chord such that ∠BAC = 30°. If the tangent at C intersects AB extended at D, then BC = BD.


Two circles with centres O and O' of radii 3 cm and 4 cm, respectively intersect at two points P and Q such that OP and O'P are tangents to the two circles. Find the length of the common chord PQ.


In a right triangle ABC in which ∠B = 90°, a circle is drawn with AB as diameter intersecting the hypotenuse AC and P. Prove that the tangent to the circle at P bisects BC.


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.


In the following figure, O is the centre of the circle. Name all chords of the circle.


From the figure, identify the centre of the circle.

 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×