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If A, A1,A2,A3 are the areas of the insc...

If `A, A_1,A_2,A_3` are the areas of the inscribed and escribed circles of a `DeltaABC,` then

A

`sqrtA_1+sqrtA_2+sqrtA_3=sqrtpi(r_1+r_2+r_3)

B

`1/sqrtA_1+1/sqrtA_2+1/sqrtA_3=1/sqrtA`

C

`1/sqrtA_1+1/sqrtA_2+1/sqrtA_3=s^2/(sqrtpir_1r_2r_3`

D

`sqrtA_1+sqrtA_2+sqrtA_3= sqrtpi(4R+r)`

Text Solution

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The correct Answer is:
A, B, C, D
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PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. Let a,b,c be the sides of triangle whose perimeter is p and area is A,...

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

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

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

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

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

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

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

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  9. Match List - I with List-II

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  10. Match List - I with List-II

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

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

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

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

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

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

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

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

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

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

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