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O and C are respectively the orthocentre and circumcentre of an acute angle triangle PQR. The points P and Q are joined and produced to meet the side QR ats. If `anglePQS = 60^@` and `angleQCR =130^@` then `angleRPS =`

A

`30^@`

B

`35^@`

C

`100^@`

D

`60^@`

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UNITED BOOK HOUSE-Theorem related to Angle in a Circle-Exercise
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  3. AB and AC are two chords perpendicular to each other. If the radius of...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If ABCD be a cyclic quadrilateral in which angleA = 4x^@, angleB = 7x^...

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  18. ABCD is a cyclic quadrilateral and AD is a diameter. If angleDAC = 55^...

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  19. ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. I...

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  20. O and C are respectively the orthocentre and circumcentre of an acute ...

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