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Prove that any rectangle is a cyclic qua...

Prove that any rectangle is a cyclic quadrilateral.

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In the adjoining figure, seg YZ and seg XT are altitudes of triangle WXY which intersect each other at point P. Prove that square WZPT is a cyclic quadrilateral.

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In the figure square ABCD is a cyclic quadrilateral.Seg AB is a diameter. If angleADC=120^@ , find the measure of angleBAC .

If A ,B ,C ,D are angles of a cyclic quadrilateral, then prove that cos A+cos B+cos C+cos D=0

In the given figure, square PQRS is a cyclic quadrilateral such that anglePQR=50^@ then anglePSR = (a) 50^@ (b) 100^@ (c) 120^@ (d) 130^@

In the adjoining figure, square PQRS is a cyclic quadrilateral. side PQ~=side RQ./_PSR=110^@ . Find m(arc PQR)

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In the adjoining figure, square PQRS is a cyclic quadrilateral. side PQ~=side RQ./_PSR=110^@ . Find /_PRQ

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CHETANA PUBLICATION-CIRCLE-EXERCISE
  1. Prove that any rectangle is a cyclic quadrilateral.

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  2. Two circles of radii 5.5 cm and 3.3 cm respectively touch each other.W...

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  3. Two circles intersect each other such that each circles pass through t...

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  4. A circle touches all sides of a parallelogram.so the parallelogram mus...

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  5. length of a tangent segment drawn from a point which is at a distance ...

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  6. If two circles are touching externally,how many common tangents of the...

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  7. /ACB is inscribed in arc ACB of a circle with centre O.If /ACB=65^@,fi...

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  8. Chords AB and CD of a circle intersect inside the circle at point E. I...

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  9. In a cyclic square ABCD, twice the measure of /A is thrice the measure...

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  10. Points A,B,C are on circle, such that m(arc AB)=m(arc BC)=120^@. No po...

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  11. Seg XZ is a diameter of a circle. Point Y lies in its interor. How man...

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  12. /QPR=60^@, then /AOB=…….a)60^@ b)90^@ c)120^@ d)240^@

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  13. Angle between external end point of radius and tangent is…………

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  14. Point P is on the circle. AB is diameter of the circle, /APB is ……………....

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  15. MN is tangent at M and AM is radius.Find AM.

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  16. /ADC=80^@, then /CBE=? a)100^@ b)10^@ c)80^@ d)280^@

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  17. /XYZ=40^@,/AYZ=20^@, line AY is tangent at point Y.:.m(arc XY)=…………a)8...

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  18. AB is tangent at B. AB=12, AP=6, :.PQ=……. a) 12 b) 18 c) 6 d) 20

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  19. Line PT is a tangent at point T. Which of the following is true? a)/AB...

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  20. A circle with centre P.Line AB and line AC are tangents from point A a...

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  21. In adjoining figure,PQ=QR./P=60^@.m(arc PR)=………….

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