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Introduction To Circles Free Doubts and Solutions

CBSE - IX - Mathematics - Circles

Please solve question no 11 with proper explanation 

Asked by adityaahuja099 28th November 2017, 5:45 PM
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CBSE - IX - Mathematics - Circles

prove that the circle drawn with any side of a rhombus as diameter passes through the point of intersection of its diagonals

Asked by jhmukherjee94 8th March 2016, 10:35 PM
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CBSE - IX - Mathematics - Circles

a circle divides the plane on which it lies in 3 parts . how ? please explai

Asked by daglipriya 19th February 2016, 10:04 PM
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CBSE - IX - Mathematics - Circles

How do we prove the following theorem step by step:-
1.if two arcs of a circle are congruent , then the corresponding chords are equal.
2. If two chords of a circle are equal, then their corresponding arcs are congruent.

Asked by nikhil 28th January 2016, 3:51 PM
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CBSE - IX - Mathematics - Circles

 Prove that the quadrilateral formed by the internal angle bisectors of any quadrilateral is cyclic ?

Asked by shub3893 4th December 2015, 9:04 PM
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CBSE - IX - Mathematics - Circles

<div>This is the plan of jillian's square garden. All the curved lines in the plan are parts of circles. The pond is quater circle</div> <div>The centre of the garden is at O.</div> <div> <div> <div> <div>&nbsp;</div> <div>&nbsp;&nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; plan of garden</div> <div> <div> <div> <div><img src="data:image/png;base64,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" alt="" /></div> <div>What is the area of the grass , to the nearest <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=a50d11393efc067b8506820cf1ccbabf.png" alt="m squared" align="middle" />?</div> </div> </div> </div> </div> </div> </div>

Asked by shivbajaj_bkn 12th September 2014, 6:49 PM
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CBSE - IX - Mathematics - Circles

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Circles

Two circles intersect at two points A and B. AD and AC are diameters to the two circles. Prove that B lies on the line segment DC.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Circles

Prove that the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Circles

Draw a circle with radius 2.1 cm. Draw three chords of the circle such that they form an equilateral triangle.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Circles

Draw a circle whose diameter is 4 cm. Mark the points P, Q, and R in the interior, exterior and on the circle respectively.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Circles

Draw a line segment AB of length 4.8 cm. Construct two semi-circles on opposite sides of AB such that half the length of AB is the diameter of each of the semi-circles.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Circles

What is the difference between a chord and secant of a circle?

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Circles

Define centre of a circle.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Circles

Asked by Topperlearning User 16th December 2013, 8:12 AM
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CBSE - IX - Mathematics - Circles

Construct an isosceles triangle in a circle of radius 3 cm. Measure the length of the three sides.

Asked by Topperlearning User 16th December 2013, 7:59 AM
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CBSE - IX - Mathematics - Circles

Define sector of a circle.

Asked by Topperlearning User 16th December 2013, 7:55 AM
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