**Selina Concise Mathematics Class 10 ICSE Solutions Circles**

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**Selina ICSE Solutions for Class 10 Maths Chapter 17 Circles**

**Exercise 17(A)**

**Question 1.**

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**Question 2.**

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**Question 3.**

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**Question 4.**

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**Question 5.**

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**Question 6.**

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**Question 7.**

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**Question 8.**

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**Question 9.**

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**Question 10.**

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**Question 11.**

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**Question 12.**

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**Question 13.**

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**Question 14.**

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**Question 15.**

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**Question 16.**

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**Question 17.**

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**Question 18.**

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**Question 19.**

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**Question 20.**

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**Question 21.**

Prove that:

(i) the parallelogram, inscribed in a circle, is a rectangle.

(ii) the rhombus, inscribed in a circle, is a square.

**Solution:**

**Question 22.**

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**Question 23.**

Two circles intersect at P and Q. Through P diameters PA and PB of the two circles are drawn. Show that the points A, Q and B are collinear.

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**Question 24.**

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**Question 25.**

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**Question 26.**

Two chords AB and CD intersect at P inside the circle. Prove that the sum of the angles subtended by the arcs AC and BD as the centre O is equal to twice the angle APC

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**Question 27.**

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**Question 28.**

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**Question 29.**

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**Question 30.**

ABCD is a cyclic quadrilateral in which AB and DC on being produced, meet at P such that PA = PD. Prove that AD is parallel to BC.

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**Question 31.**

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**Question 32.**

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**Question 33.**

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**Question 34.**

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**Question 35.**

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**Question 36.**

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**Question 37.**

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**Question 38.**

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**Question 39.**

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**Question 40.**

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**Question 41.**

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**Question 42.**

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**Question 43.**

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**Question 44.**

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**Question 45.**

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**Question 46.**

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**Question 47.**

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**Question 48.**

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**Question 49.**

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**Question 50.**

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**Question 51.**

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**Question 52.**

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**Question 53.**

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**Question 54.**

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**Question 55.**

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**Question 56.**

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**Question 57.**

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**Question 58.**

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**Question 59.**

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**Question 60.**

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**Question 61.**

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**Exercise 17(B)**

**Question 1.**

In a cyclic-trapezium, the non-parallel sides are equal and the diagonals are also equal.

Prove it.

**Solution:**

**Question 2.**

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**Question 3.**

If two sides of a cycli-quadrilateral are parallel; prove thet:

(i) its other two side are equal.

(ii) its diagonals are equal.

**Solution:**

**Question 4.**

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**Question 5.**

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**Question 6.**

In a regular pentagon ABCDE, inscribed in a circle; find ratio between angle EDA and angel ADC.

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**Question 7.**

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**Question 8.**

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**Question 9.**

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**Question 10.**

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**Exercise 17(C)**

**Question 1.**

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**Question 2.**

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**Question 3.**

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**Question 4.**

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**Question 5.**

Prove that the circle drawn on any one a the equalside of an isoscele triangle as diameter bisects the base.

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**Question 6.**

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**Question 7.**

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**Question 8.**

The quadrilateral formed by angle bisectors of a cyclic quadrilateral is also cyclic. Prove it.

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**Question 9.**

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**Question 10.**

D and E are points on equal sides AB and AC of an isosceles triangle ABC such that AD = AE. Provet that the points B, C, E and D are concyclic.

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**Question 11.**

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**Question 12.**

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**Question 13.**

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**Question 14.**

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**Question 15.**

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**Question 16.**

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**Question 17.**

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**Question 18.**

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**Question 19.**

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**Question 20.**

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**Question 21.**

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**Question 22.**

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**Question 23.**

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**Question 24.**

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**Question 25.**

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**Question 26.**

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**Question 27.**

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**More Resources for Selina Concise Class 10 ICSE Solutions**

JYOTSANA says

circles class 10 icse solutions Very useful very very very grateful to you

Ashok says

circles maths for class 10 icse solutions Really very useful to students those taught by average school maths teacher

Neesha says

concise mathematics class 10 icse solutions helped me a lot. Thankyou so much

Asmit Singh says

Thank You for helping me so much…

Pulkit says

Sir/madam in question no. 5 (ii) angle b can be 90 degree or not by the property (angle in the semi-circle is 90 degree )

Prem says

It cannot be 90° because AB is a chord , not a diameter and it is not passing through the centre

You cannot prove it through the (Semi circle triangle property

Prem says

It cannot be 90° because AB is a chord , not a diameter and it is not passing through the centre

You cannot prove it through the (Semi circle triangle property

Red hood says

You can what’s your problem

Aditya Singh says

little bit confused?????

Aditya Singh says

thankyou but it is confusing

Aditya Singh says

thankyou

Sankalp says

Where is 28th and 29th questions

SANKALP says

Where is question no. 28 and 29??

Keerthi says

It was very helpful to me to clear doubts

Varad says

Where is the 28th and the 29th questions

I had a doubt in the 28th one

Kuhu says

Where 28 and 29 question are?

Kuhu says

Where are twenty eight and twenty nine question solution