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The sum of the angles in the four segmen...

The sum of the angles in the four segments exterior to a cyclic quadrilateral is equal to `6` right angles.

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To prove that the sum of the angles in the four segments exterior to a cyclic quadrilateral is equal to 6 right angles, we can follow these steps: ### Step-by-Step Solution: 1. **Draw the Cyclic Quadrilateral**: - Let PQRS be a cyclic quadrilateral. This means that all its vertices lie on a circle. **Hint**: Remember that a cyclic quadrilateral has its vertices on the circumference of a circle. ...
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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. If one side of a cyclic quadrilateral is produced, then the exterior ...

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  2. If the sum of any pair of opposite angles of a quadrilateral is 180^@;...

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  3. The sum of the angles in the four segments exterior to a cyclic qua...

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  4. If the bisectors of the opposite angles /Aa n d/B of a cyclic quadrila...

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  5. If O is the circumcentre of a A B C and O D|B C , prove that /B O ...

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  6. Two diameters of a circle intersect each other at right angles. Prove ...

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  7. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

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  8. In a circle with centre O , chords A Ba n dC D intersect inside the ci...

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  9. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

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  10. Bisectors of angles A, B and C of a triangle ABC intersect its circ...

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

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  12. A Ca n dB D are chords of a circle that bisect each other. Prove that:...

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  13. Prove that the mid-point of the hypotenuse of a right triangle is eq...

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  14. In Figure, P , is any point on the chord B C of a circle such that A B...

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  15. Two chords A B and C D of a circle are parallel and a line l is the pe...

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  16. A circular park of radius 20m is situated in a colony. Three boys Anku...

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  17. In an equilateral triangle, prove that the centroid and centre of the ...

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  18. In Figure, l is a line intersecting the two concentric circles, whose ...

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  19. In the Figure, O D is perpendicular to the chord A B of a circle whose...

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  20. A B and C D are two chords of a circle such that A B=6c m ,C D=12c m a...

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