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Bisectors of angles A, B and C of a tria...

Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that angles of the triangle are `90^@-A/2,90^@-B/2` and `90^@-C/2` respectively.

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MBD-Circles-Exercise
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  3. Find x+y+z

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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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  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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