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In the given figure angle BAD= 80 ^(@) ...

In the given figure `angle BAD= 80 ^(@) `
` angle ABD = 55^(@) and angle BDC = 45 ^(@) , ` . Find
(i) ` angle BCD `
(ii) ` angle ADB `
Hence , show that AC is a diameter.

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The correct Answer is:
AC is a diameter of the circle.
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ICSE-CIRCLES-EXERCISE 17( C )
  1. In the given figure angle BAD= 80 ^(@) angle ABD = 55^(@) and angl...

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  2. In the given circle with diameter AB, find the value of x.

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  3. In the given figure , ABC is a triangle in which angle BAC = 30 ^(@) ...

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  4. Prove that the circle drawn on any one of the equal sides of an iso...

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  5. In the given figures, chord ED is parallel to diameter AC of the circl...

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  6. The quadrilateral formed by angle bisectors of a cyclic quadrilateral ...

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  7. In the figure angle DBC = 58^(@) , BD is a diameter of the circle . ...

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  8. D and E are points on equal sides A B and A C of an isosceles triangle...

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  9. In the given figure ,ABCD is a cyclic quadrilateral .AF is drawn para...

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  10. If I is the incentre of triangle ABC and AI when produced meets the c...

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  11. In the given figure ,AB = AD = DC = PB and angle DBC = x^(@) Determ...

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  12. In the given figure , ABC , AEQ and CEP are straight lines . Show that...

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  13. In the given figure. AB is the diameter of the circle with centre O. ...

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  14. In a cyclic -quadrilateral PQRS angle PQR = 135^(@) , Sides SP and...

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  15. In the following figure , ABCD is a cyclic quadrilateral in which AD i...

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  16. ABCD is a cyclic quadrilateral , Sides AB and DC produced meet at poin...

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  17. The following figure shows a circle with PR as its diameter. If PQ= ...

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  18. In the given figure AB is the diameter of a circle with centre O . If ...

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  19. In cyclic quadrilateral ABCD , AD = BC , angle BAC = 30 ^(@) and angl...

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  20. In cyclic quadrilateral ABCD , AD = BC , angle BAC = 30 ^(@) and angl...

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  21. In cyclic quadrilateral ABCD , AD = BC , angle BAC = 30 ^(@) and an...

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