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Two chords AB and CD of a circle with centre O intersect each other at the point P. If ∠AOD =20° and ∠BOC = 30°, then ∠BPC is equal to?

A

`25^@`

B

`40^@`

C

`90^@`

D

`105^@`

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UNITED BOOK HOUSE-Theorem related to Angle in a Circle-Exercise
  1. If O is the circumcentre of triangleABC, then the value of (angleOBC +...

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  2. Two chords AB and CD of a circle with centre O intersect each other at...

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  3. O is the circumcentre of triangleABC. If angleBAC = 85^@, angleBCA = 5...

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  4. AB is a diameter of a circle with centre at O. C is any point on the c...

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  5. O is the incentre of triangleABC~ and if angleBOC = 140 then angleBAC=...

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  6. Two chords AB and CD of a circle intersect at the point P, which is in...

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  7. AB and AC are two chords perpendicular to each other. If the radius of...

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  8. AB is a diameter of a circle with centre at O. Chord PQ intersects AB ...

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  9. AD and AC are two equal chords of a circle with centre O. AB is the di...

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  10. AB is a diameter of a circle with centre at O. If chord CD bot AB and ...

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  11. If O be the circumcentre of a triangle PQR and angleQOR = 110^@, angle...

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  12. In the adjacent figure, AB be diameter of a circle whose centre is O. ...

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  13. Two chords AB and CD of cicle whose centre is O, meet at the point P a...

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  14. O is the centre and ABC subtends an angle of 130^@ at O. AB is extende...

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  15. Two chords AB, CD of a circle with centre O intersect each other at P....

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  16. ABCD is a quadrilateral inscribed in a circle with centre O. If angleC...

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  17. ABCD is cyclic trapezium such that AD||BC, If angleABC =70^@ then the ...

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  18. If an exterior angle of a cyclic quadrilateral be 50^@, then the inter...

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  19. ABCD is a cyclic trapezium with AD∥BC. If ∠B=70 then determine other t...

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  20. A cyclic quadrilateral ABCD is such that AB = BC, AD = DC, AC bot BD, ...

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