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(r(1)-r)(r(2)-r)(r(3)-r)=...

`(r_(1)-r)(r_(2)-r)(r_(3)-r)=`

A

4Rr

B

4Rs

C

`4R Delta`

D

`4Rr^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-III) (LEVEL-II) (Straight Objective Type Questions)
  1. In Delta ABC, if a=13 ,b=14 , c=15, then r1=

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  2. The perimeter of a triangle right angled at C is 70, and the in-radius...

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  3. (r(1)-r)(r(2)-r)(r(3)-r)=

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  4. In a triangle ABC,(s-a)/Delta=1/8,(s-b)/Delta=1/12,(s-c)/Delta=1/24 th...

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  5. Show that (1)/(r^(2))+(1)/(r(1)^(2))+(1)/(r(2)^(2))+(1)/(r(3)^(2))=(a^...

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  6. If in a triangle ABC, r(1)=2, r(2)=3 and r(3) =6 then b=

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  7. If the area of a triangle is 96 and the radii of the escribed circles ...

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  8. In Delta ABC, if r-1,R=4, Delta =8, then ab+bc+ca=

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  9. The equation whose roots are radii of escribed circles is

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  10. If r(1),r(3),r(1) are the radii of the escribed circles of a DeltaABC ...

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  11. In a DeltaABC, if r(1)=2r(2)=3r(3) then a:b=

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  12. In triangle ABC,(r(3)+r(1))sqrt([(rr(1))/(r(3)r(1))])=

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  13. In DeltaABC" prove that " (r(1))/(bc)+(r(2))/(ca)+(r(3))/(ab)=(1)/(r)-...

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  14. Assertion (A) : The radius of the circle inscribed in the triangle obt...

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  15. If r= 2, R = 6 for a right angled triangle then its area is

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  16. Let h(a),h(b) be the lengths of altitude from A and B respectively. If...

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  17. A triangle is inscribed in a circle. The vertices of the triangle divi...

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  18. In a triangle ABCk if 4 Rr "cos" (A)/(2)"cos"(B)/(2)"cos"(C)/(2)

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  19. In DeltaABC, 4R "sin"(A)/(2)"sin"(B)/(2)"sin"(C)/(2)=

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  20. ( a cos A + b cos B + c cos C )/( a +b +c ) =

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