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$\frac{arcAPB}{2}=\frac{{\displaystyle arcBQC}}{{\displaystyle 2}}=\frac{{\displaystyle arcCRA}}{{\displaystyle 2}}\phantom{\rule{0ex}{0ex}}Find\angle BOC.$

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ANS:1087.5m2.

With proper equations

Hint: Minor arc AB = minor arc CD. Subtract minor arc BD from both sides.

Cd are equal chords of a circle wuth centre O and AD is a diameter .If angle DEF =110 find angle FAB?

(i) AP = CP,

(ii) BP = DP

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Question 4(a).

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Q.8. In the given figure, AB and CD are two equal chords of a circle, with centre O. If P is the mid-point of chord AB, Q is the mid-point of chord CD and $\angle POQ=150\xb0$, find $\angle APQ$.

Bisectors of vertex angles A, B and C of a triangle ABC intersect its circumcircle at the points D, E and F respectively. Prove that angle EDF = 90

^{o }- 1/2 angle A.

10. In Fig.13.35, CD is the perpendicular bisector of the chord AB. If AB = 2 cm and CD = 4 cm, calculate the radius of the circle.

(SC)ANS:283.969cm2

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$8.ParallelChordsABandCDare3.9cmapartandlieontheoppositesidesofcentre\phantom{\rule{0ex}{0ex}}acircle.IfAB=1.4cmandCD=4cm,findtheradiusofthecircle.\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}12.Anequilateraltriangleofside9cmisinscribedinacircle.Findtheradiusofthecircle.$

Q3. Two points A and B are given. Find the set of feet of the perpendiculars dropped from the point A onto all possible straight lines passing through the point B.

b.(given in the picture).

32. To prove SQ = SR

SP is bisector of $\angle $RPT and PQRS is a cyclic quadrilateral.

Ans:42cm2.

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If AB = 1.4 cm and CD=4cm , Find the radius of the circle .