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In Delta ABC , 4 ( r1r2 + r2r3+ r3r1) =...

In ` Delta ABC , 4 ( r_1r_2 + r_2r_3+ r_3r_1) = `

A

` a+ b+c`

B

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

C

` abc`

D

` 0 `

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - 1
  1. In an equilateral triangle r:R:r1 is

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  2. In Delta ABC , if a= 30 , b= 24 , c= 18 , then the ratio ( 1)/(r1...

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  3. In Delta ABC , 4 ( r1r2 + r2r3+ r3r1) =

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  4. In Delta ABC, ( r3 + r1) sqrt([(r r2)/( r3r1) ]) =

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  5. In Delta ABC , ( r1-r)/( a) + ( r2-r)/( b) =

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  6. In Delta ABC , r ( r1 cot "" ( A) /(2) + r2 cot "" ( B) /( 2) + r3 ...

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  7. In Delta , " if " r1, r2, r3 are in H.P. then ( r2)/(r ) =

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  8. In Delta ABC , " if " 2 r1 = 3r2= r3, then a: b: c =

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  9. In Delta ABC, if r1 lt r2 lt r3 then

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  10. In Delta ABC , " if" r1,r2,r3 are in H.P. then a,b,c are in

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  11. If A= 60 ^(@) " then " ( b) / ( c+ a) + ( c ) /( a+ b) =

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  12. If C= 60 ^(@) " then " ( a) /( b+ c) + ( b) /( c+a) =

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  13. (a ) /( b^(2) - c^(2)) + ( c )/( b^(2) - a^(2)) = 0 then B =

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  14. ( a- b) ^(2) cos ^(2) ""(C ) /(2) + ( a+b) ^(2) sin ^(2) "" ( C )/(2) ...

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  15. ( a+b + c) [tan ""(A)/(2) + tan "" ( B)/(2) ] =

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  16. If a,b,c are in A.P. then tan ""( A)/(2) tan "" ( C) /(2) =

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  17. In Delta ABC tan "" ( A)/(2) = ( 5)/( 6) , tan "" ( C )/(2) = (2)/(5...

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  18. In Delta ABC, " if" s= 2b " then " cot "" (A)/(2) cot "" ( C)/(2) =

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  19. a^(2) sin 2C + c ^(2) sin 2A =

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  20. In any Delta ABC,((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)=

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