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In the given figure, Delta ABC is inscri...

In the given figure, `Delta ABC` is inscribed in a circle and the bisector of `angle A` meets BC in D and the circle in E. If `angle ECD = 30^(@)`, what is `angle A` ?

A

`60^(@)`

B

`45^(@)`

C

`70^(@)`

D

`150^(@)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • In DeltaABC , internal angle bisector of angle A meet side BC in D. DE bot AD meet AC in E and AB in F. then

    A
    AE in H.M of b and c
    B
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    A
    `2(bc)/(b+c) sin"A/2`
    B
    `2(bc)/(b+c) cos"A/2`
    C
    `(abc)/(2R(b+c)) cosec"A/2`
    D
    `(4A)/(b+c) cosec"A/2`
  • A triangle ABC is inscribed in a circle and the bisectors of the angles A, B and C meet the cir cumference at P, Q and R respec tively. The angles of the triangle PQR respectively are

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    B
    `90^@ + A/2 , 90^@ - B/2 , 90^@ - C`
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    D
    None of these
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