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If f,g,h are the internal bisectors of ...

If f,g,h are the internal bisectors of a `Delta`ABC` then 1/fcos(A/2)+1/gcos (B/2)+1/hcos(c/2) is equal to

A

1/a+1/b-1/c

B

1/a-1/b+1/c

C

1/a+1/b+1/c

D

none of these

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The correct Answer is:
C
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PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
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  2. If D is the mid point of side BC of a triangle ABCand AD is perpendicu...

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  3. If f,g,h are the internal bisectors of a DeltaABC then 1/fcos(A/2)+1/...

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  4. If a,b,c,d be the sides of a quadrilateral and g(x)=f[f{f(x)}], where ...

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  5. In aDeltaABC,sinA/sinC=sin(A-B)/sin(B-C)then

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  6. Let a,b,c be the sides of triangle whose perimeter is p and area is A,...

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  7. If in a DeltaABC, CD is the angle bisector of the angleABC, then CD is...

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  8. If A, A1,A2,A3 are the areas of the inscribed and escribed circles of ...

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  9. If A+B =pi/3 and cosA+cosB=1, then which of the following is/are true

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  10. When any two sides and one of the opposite acute are given, under cert...

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  11. When any two sides and one of the opposite acute are given, under cert...

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  12. If p1,p2,p3 are altitudes of a triangle ABC from the vertices A,B,C re...

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  13. If p1,p2,p3 are altitudes of a triangle ABC from the vertices A,B,C re...

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  14. Match List - I with List-II

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  15. Match List - I with List-II

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  16. In a Delta, (a+b+c)(b+c-a)=lambdabc, whenlambda inI, then greatest va...

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  17. In a Delta ABC then line joining the circumcentre to the incentre is p...

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  18. If in a DeltaABC, a=5, b=4 and cos(A-B)=31/32, then the third side c ...

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  19. In DeltaABC, if BC is unity, sin(A/2)=x1,sin(B/2)=x2,cos(A/2)=x3,cos(B...

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  20. If any DeltaABC, if sinA,sinB,sinC are in A.P. and the maximum value ...

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