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ABCD is a cyclic quadrilateral. The bise...

ABCD is a cyclic quadrilateral. The bisectors of `angleDAB` and `angleBCD` intersect the circle at the points X and Y respectively. Prove that XY is a diameter of the circle.

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UNITED BOOK HOUSE-SUGGESSTION OR MADHYAMIK PARIKSHA-EXERCISE
  1. Prove that two equal chords are equidistant from the centre of the cir...

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

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

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

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  5. Draw a triangle ABC, whose AB = 4.5 cm , BC = 3.5cm and angleABC = 90^...

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

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

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

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  11. Solve: (x+1) cot^2 (pi/6) = 2cos^2 (pi/3)+ 3/4 sec^2 (pi/4)+ 4 sin^2 (...

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  12. Find the value of sin^2 60^@ cot30^@- 2sec^2 45^@+ 3cot60^@ tan 45^@-t...

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

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  19. An outlet pipe in the roof with length 13m and breadth 11m was closed ...

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