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RD Sharma - Mathematics

16. Circles

1. Number System
2. Exponents of Real Numbers
3. Rationalisation
4. Algebraic Identities
5. Factorization of Algebraic Expressions
6. Factorization of Polynomials
7. Introduction to Euclid's Geometry
8. Lines and Angles
9. Triangle and Its Angles
10. Congruent Triangles
11. Co-ordinate Geometry
13. Linear Equations in Two Variables
12. Heron's Formula
14. Quadrilaterals
15. Areas of Parallelograms
16. Circles
17. Constructions
18. Surface Area and Volume of a Cuboid and a Cude
19. Surface Area and Volume of a Right Circular Cylinder
20. Surface Area and Volume of a Right Circular Cone
21. Surface Area and Volume of a Sphere
22. Tabular Representation of Statistical Data
23. Graphical Representation of Statistical Data
24. Measures of Central Tendency
25. Probability

Exercise 16.1

Exercise 16.2

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Exercise 16.3

Exercise 16.4

1 2 3 4 5 6 7 8 9 10 11

Exercise 16.5

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CCE - Formative Assessment

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Q. 155.0( 2 Votes )

In Fig. 16.187, <

Class 9th RD Sharma - Mathematics 16. Circles

Answer :

We have,

∠BAD = 78^o

∠DCF = x^o

∠DEF = y^o

Since, ABCD is a cyclic quadrilateral

∠BAD + ∠BCD = 180^o

78^o + ∠BCD = 180^o

∠BCD = 102^o

Now,

∠BCD + ∠DCF = 180^o (Linear pair)

102^o = x – 180^o

x = 78^o

Since,

DCEF is a cyclic quadrilateral

x + y = 180^o

78^o + y = 180^o

y = 102^o

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