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Let vertex of an angle ABC be located ou...

Let vertex of an angle ABC be located outside a circle and let the sides of the angle intersect chords AD and CE with the circle. Prove that `/_ABC` is equal to half the difference of the angles subtended by the chords AC and DE at the centre.

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MBD-Circles-Exercise
  1. Match the following : .

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  2. In DeltaABC which is not true :

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  3. Find x+y+z

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  4. The lengths of two parallel chords of a circle are 6 cm and 8 cm. If t...

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  5. Let vertex of an angle ABC be located outside a circle and let the sid...

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  6. Bisectors of angles A, B and C of a triangle ABC intersect its circumc...

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  7. Two congruent circles intersect each other at points A and B. Through ...

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  8. In any triangle ABC, if the angle bisector of /A and perpendicular bis...

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  9. Find x+y+z

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  10. Find x+y+z

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  11. (True/ False) Two chords AB and CD of a circle are each at distances ...

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  12. (True/ False) Two chords AB and AC of a circle with centre O are on t...

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  13. (True/ False) Two congruent circles with centres O and O' intersect at...

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  14. Through three collinear points a circle can be drawn.

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  15. (True/ False) A circle of radius 3 cm can be drawn through two points...

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  16. (True/ False) If AOB is a diameter of a circle and C is a point on th...

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  17. (True/ False) ABCD is a cyclic quadrilateral such that /A = 90^@, /B ...

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  18. (True/ False) If A, B, C, D are four points such that /BAC = 30^@ and...

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  19. (True/ False) If A, B, C and D are four points such that /BAC = 45^@ ...

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  20. (True/ False) In Fig. If AOB, is a diameter and /ADC = 120^@, then...

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