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The angle B of the Delta ABC is a right ...

The angle B of the `Delta ABC` is a right angle. If a cicrle is drawn with AC as diameter, then in it intersec AB at a point . D then which one of the following is correct ?

A

`AB gt AD`

B

`AB= AD`

C

`AB lt AD`

D

`AB ne AD`

Text Solution

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The angle B of `Delta ABC` is a right angle `:. angle ABC` is a semicircular angle `:. AC` is a diameter of the circl `:.` the circle drawn with AC as diameter intersect AB at a point B. i., B and D are the same points.
`:. AB= AD rArr` (b) is correct
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CALCUTTA BOOK HOUSE-THEOREMS RELATED TO ANGLES IN A CIRCLE-EXAMPLES (Long Answer Type Questions)
  1. I is the centre of the incircle of Delta ABC, produced AI intersects t...

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  2. Ankita drew two circles which intersect each other at the points P and...

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  3. Two chords AB and CD of a circle are perpendicular to each other. If p...

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  4. If in a cyclic quadrilateral ABCD, AB=DC, then prove that AC=BD

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  5. OA is the radius of a circle with centre at Q, AQ is its chrod and C i...

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  6. The triangle ABCis inscribed in a circle, AX, BY and CZ of the angles ...

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  7. Delta ABC is inscirbed in a circle, the bisector of the angles angle B...

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  8. The isosceles triangle ABC is inscribed in the circle with centre at O...

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  9. In Delta ABC,AB= AC and E is any point on the extended BC. The circume...

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  10. The angle B of the Delta ABC is a right angle. If a cicrle is drawn wi...

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  11. Prove that the circle drawn with any one of the equal sides of an isos...

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  12. Parama drew to circles intersect each other at the points P and Q . If...

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  13. Debanjan drew a line segment PQ of which mid-point is R and two circl...

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  14. Three points P,Q ,R lie on a circle. The two perpendiculars PQ and PR...

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  15. ABC is an acute-angled triangle .AP is the diameter of the circumcircl...

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  16. The internal and external bisectors of the vertical angle of a triang...

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  17. AB and CD are two diameters of a circle. Prove that ADBC is a rectangl...

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  18. AB is a diameter and AC is a chord of the circle with centre at Q. the...

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  19. Two circles intersect each other at the points P and Q. A straight lin...

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  20. ABC is a cyclic equailateral triangle. If D be any point on the circul...

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