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AC is a diamter of a circle with centre O, If `triangleABC` is cyclic and `OP bot AB`, then prove that OP:BC = 1:2.

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UNITED BOOK HOUSE-RAMAKRISHNA MISSION VIDYALAYA, NARENDRAPUR-EXERCISE
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  5. Prove that opposite angles of a cyclic quadrilateral are supplementary

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  6. State and prove Pythagoras theorem.

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  11. Define radian, Prove that 1^@<1^c.

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  12. If 5 cos theta+ 12 sin theta = 13 show that tan theta = 12/5.

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  13. Find the value of (cos^2pi/16+ cos^2 (3pi)/16+cos^2(5pi)/16+cos^2(7pi)...

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