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If a DeltaABC is right angled at B, then...

If a `DeltaABC` is right angled at B, then the diameter of the incircle of the triangle is

A

c+a-b

B

2(c+a-b)

C

c+a-2b

D

c+a+2b

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
  1. if A+ B + C = pi, and cos A = cos B cos C, show that 2 cot B cot C=1.

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  2. Prove that a(b^(2) + c^(2)) cos A + b(c^(2) + a^(2)) cos B + c(a^(2) +...

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  3. The sides of a triangle are x^2+x+1,2x+1,a n dx^2-1 . Prove that the g...

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  4. In a triangleABC," if "C=60^(@)," then "(a)/(b+c)+(b)/(c+a)=

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  5. In a triangleABC, if a,c,b are in A.P. then the value of (a cos B-b co...

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  6. If a DeltaABC is right angled at B, then the diameter of the incircle ...

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  7. The angle of a right-angled triangle are in AP. Then , find the ratio ...

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  8. The angle of a triangle are in the ratio 1 : 2 : 7, prove that the rat...

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  9. In DeltaABC, let a=5, b=4 and cos (A-B=(31)/(32)), then which of the f...

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  10. In a triangleABC"if c"=(a+b) sin theta and cos theta=(ksqrtab)/(a+b),"...

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  11. In triangleABC," if"(s-a)/(Delta)=1/8, (s-b)/(Delta)=1/12 and (s-c)/(D...

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  12. In a triangle ABC if 2a=sqrt(3)b+c, then possible relation is

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  13. If in a triangle A B C ,acos^2(C/2)+ c cos^2(A/2)=(3b)/2, then the si...

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  14. The sides of a right angled triangle are in A.P., then they are in the...

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  15. ln a triangle ABC, B=90^@ then the value of tan(A/2)=

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  16. In a triangleABC," if "B=90^(@), then the value of tan""A/2 in terms o...

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  17. In a DeltaABC ,a =5 , b= 4 , and tan(C/2)=sqrt(7/9), then c =

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  18. In a triangleABC," if "C=60^(@)," then "(a)/(b+c)+(b)/(c+a)=

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  19. If p(1),p(2),p(3) are altitudes of a triangle ABC from the vertices A,...

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  20. Show that (r(1))/(bc)+(r(2))/(ca)+ (r(3))/(ab)=2R-r

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