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In a cyclic quadrilateral `A B C D ,` if `/_A-\ /_C=60^0,` prove that the smaller of two is `60^0`

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. In Figure, O is the centre of the circle. If /C E A=30^0, find the ...

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  2. In Figure, /B A D=78^0,\ /D C F=x^0a n d\ /D E F=y^0dot Find the va...

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  3. In a cyclic quadrilateral A B C D , if /A-\ /C=60^0, prove that ...

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  4. In Figure, A B C D is a cyclic quadrilateral. Find the value of a and ...

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  5. A B C D is a cyclic quadrilateral in which: B C is para l l e l t o ...

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  6. Prove that the perpendicular bisectors of the sides of a cyclic qua...

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  7. Prove that the centre of the circle circumscribing the cyclic recta...

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  8. Prove that the circle drawn with any side of a rhombus as a diameter, ...

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  9. If the two sides of a pair of opposite sides of a cyclic quadrilate...

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  10. A B C D is a cyclic quadrilateral in which B A\ a n d\ C D when pr...

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  11. Prove that the angle in a segment greater than a semi-circle is les...

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  12. A B C D is a cyclic trapezium with AD || BC dot If /B=70^0, determin...

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  13. Prove that the line segment joining the mid-point of the hypotenuse...

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  14. A B C D is a cyclic quadrilateral in which A C\ a n d\ B D are its d...

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  15. In Figure, two circles intersect at A\ a n d\ B . The centre of ...

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  16. In Figure, two congruent circles with centres O\ a n d\ O ' interse...

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  17. A B C D is a cyclic quadrilateral in which /B A D=75^0,\ /A B D=58^0...

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  18. In Figure, if /A O B=80^0a n d\ /A B C=30^0, then find /C A O

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  19. If O is the circumcentre of A B C , then find the value of /O B C...

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  20. If Figure, A O C is a diameter of the circle and arc A X B=1/2 arc B...

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