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Free CBSE - Class 9 Mathematics - Circles worksheets

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1.
If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side.
2.
$ABC$ and $ADC$ are two right triangles with common hypotenuse $AC$. Prove that $\angle CAD = \angle CBD$.
3.
Prove that a cyclic parallelogram is a rectangle.
4.
Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.
5.
Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.
6.
Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.
7.
If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.
8.
If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.
9.

If a line intersects two concentric circles (circles with the same centre) with centre $O$ at $A$, $B$, $C$ and $D$, prove that $AB = CD$ (see Fig. 9.12).

10.
Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5m drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between Reshma and Salma and between Salma and Mandip is 6m each, what is the distance between Reshma and Mandip?
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Top Tutors who teach CBSE - Class 9 Mathematics Circles

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superTutorSuper Tutor
locationImg Little Mount Saidapet, Chennai
Less than a yr Exp students 4 students
318 hrs of classes completed
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Experienced Multi Lingual Tutor for achieving excellence in Math
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Ravichandran sir is a trained mathematics professional teacher who is very clear with all the concepts and topics......the way of teaching is fabulous and he teaches in a very enthusiastic manner......with the help of him a concise improvement has been seen in my marks......all thanks to Ravichandran sir for the efforts he has shown

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Pranjali Saxena Circles in Delhi
(39)
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locationImg Gharoli Gharoli, Delhi
16 yrs of Exp students 3 students
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Analyst / Academician with more than 16 years of experience in industry as well as academics.
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Aashi Sharma

Very friendly teacher and explain very well and explain in detail overall teacher is very good and friendly.

Skills: Mathematics , Physics and more

(10)
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locationImg Adampur Doaba, Jalandhar
7 yrs of Exp students 4 students
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Maths expert for grade 6, 7, 8, 9, 10 & 11
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Sudhanshu pandey

Great teacher and very knowledgeable too. Very patient with kids and makes learning fun. My daughter finds the sessions very interesting.

Skills: Mathematics , Science

(13)
Top Tutor
locationImg Dombivli West Shastri Nagar, Thane
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Maths and Accountancy Teacher with 20 years of teaching experience
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Swarna Deepthi

She is a really experienced teacher who teaches my daughter with patience and efficiency. Her patience and dedication in teaching concepts is really impressive. Will definitely recommend as one of the beat teachers for maths.

Skills: Mathematics

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