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AD is internal angle bisector of DeltaAB...

AD is internal angle bisector of `DeltaABC " at " angleA` and DE perpendicular to AD which intersects AC at E and meets AB in F, then:

A

`EF=(4bc)/(b+c) sin " A/2`

B

`AD = (2bc)/(b+c) cos " A/2`

C

`AE is harmonic mean of b and c

D

`Delta AEF` is an isosceles triangle

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The correct Answer is:
A, B, C, D
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ML KHANNA-PROPERTIES OF TRIANGLES -Self Assessment Test (Multiple Choise Questions)
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  3. AD is internal angle bisector of DeltaABC " at " angleA and DE perpend...

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  6. In Delta ABC if a= 16 , b= 24 and c = 20 then cos (B/2)

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  7. In Delta ABC, cscA (sin B cos C + cos B sin C) =

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  8. If in a triangles a cos^(2)(C/2)+c cos^(2)(A/2)=(3b)/2, then the sides...

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  12. If the lengths of the sides of a triangle are 3, 5, 7, then its larges...

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  13. In a triangle ABC, right angled at C, find the value of tan A + tan B ...

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  14. The smallest angle of the DeltaABC, when a=7,b=4sqrt(3)andc=sqrt(13) i...

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  15. If in a DeltaABC, cos B = (sin A)/(2 sin C), then the triangle is

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  16. Find the value of tan A, if area of Delta ABC is a^(2) -(b-c)^(2).

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  17. If c^(2)=a^(2) +b^(2), then 4s(s-a)(s-b)(s-c) is equal to

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  18. In a triangle PQR, angleR = pi //2. If tan (P/2) and tan (Q/2) are th...

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  19. If in a Delta PQR, sin P, sin Q , sin R are in AP, then:

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