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If two chords AB and CD of a circle with...

If two chords AB and CD of a circle with centre O, when produce intersect each other at the point P, then prove `angleAOC-angleBOD = 2angleBPC`.

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UNITED BOOK HOUSE-SUGGESSTION OR MADHYAMIK PARIKSHA-EXERCISE
  1. State and prove the convere of the Pythagoras theorem.

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  2. Prove that two equal chords are equidistant from the centre of the cir...

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  3. If two chords AB and CD of a circle with centre O, when produce inters...

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  4. ABCD is a cyclic quadrilateral. The bisectors of angleDAB and angleBCD...

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  5. In a isosceles triangle ABC , angleB is right angle. Bisector of angle...

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  7. Draw an equilateral triangle having each side of length 6.5 cm. Now dr...

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  8. Draw a triangle ABC whose BC = 9 cm, AB = 7 cm and AC = 8cm. Now draw ...

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  9. Draw a triangle having sides 6cm, 8 cm and 10 cm. Now draw the incircl...

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  10. If cos theta - sin theta = sqrt2 sin theta, then show that cos theta+s...

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  11. If the difference between two acute angles of a right angled triangle ...

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  14. Show that tan 15^@+ tan 75^@ = (sec^2 15^@)/sqrt(sec^2 15^@-1)

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  15. If 5 sin^2 theta+4 cos^2 theta = 9/2 , find the value of tan theta.

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  16. A man standing on a railway bridge 5sqrt3 meters high, observes the en...

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  17. From a point on the roof a house 11 metres height, it is observed that...

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