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If p1,p2,p3 are altitudes of a triangle ...

If `p_1,p_2,p_3` are altitudes of a triangle ABC from the vertices A,B,C respectively and `Delta` is the area of the triangle and s is semi perimeter of the triangle
The value of `cosA/p_1+cosB/p_2+cosC/p_3` is

A

1/r

B

1/R

C

`(a^2+b^2+c^2)/(2R`

D

`1/Delta`

Text Solution

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The correct Answer is:
B
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PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
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  2. If p1,p2,p3 are altitudes of a triangle ABC from the vertices A,B,C re...

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

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  4. Match List - I with List-II

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  5. Match List - I with List-II

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

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

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

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

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

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  11. In triangleABC (b+c)/11=(c+a)/12=(a+b)/13 then prove that (cosA)/7=(co...

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  12. In triangle ABC if cosAcosB +sinAsinB sinC=1 then prove that a:b:c=1:1...

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  13. If in a triangle ABC, AD, BE and CF are the attitude and R is the cir...

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  14. If x,y,z are the perpendiculars from the vertices of a triangle ABC on...

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  15. In a DeltaABC prove that: a^3cos(B-C)+b^3cos(C-A)+c^3cos(A-B)=3abc

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  16. In triangle ABC, D is the mid point of side BC. If AD is perpendicular...

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  17. For a DeltaABc, it is given that cosA +cosB+cosC=3/2. prove that the D...

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  18. If any DeltaABC, show that : (sin^2A+sinA+1)/sinAge3

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  19. In a DeltaABC, if cotA+cosB+cotC=sqrt3. prove that the Deltais equilat...

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  20. Perpendiculars are drawn from the anglesA, B,C,of an acute angles Delt...

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