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In the following figure , ABCD is a cycl...

In the following figure , ABCD is a cyclic quadrilateral in which AD is parallel to BC .

If the bisector of angle A meets BC at point E and given circle at point F, prove that :
(i) EF =FC
(ii) BF = DF

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ICSE-CIRCLES-EXERCISE 17( C )
  1. If I is the incentre of triangle ABC and AI when produced meets the c...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. In the given figure , angle ACE = 43^(@) and angle CAF = 62^(@) , fi...

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  15. In the given figure,AB is parallel to DC. angle BCE = 80 ^(@) and an...

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  16. ABCD is a cyclic quadrilateral of a circle with centre O such that AB ...

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  17. In the figure , given below , CP bisects angle ACB. Show that DP bi...

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

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  19. In the given figure , AD is a diameter O is the centre of the circle ...

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  20. In the figure given , O is the centre of the circle . angle DAE = 70^...

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