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In Delta ABC , " if" r1,r2,r3 are in ...

In ` Delta ABC , " if" r_1,r_2,r_3 ` are in H.P. then a,b,c are in

A

A.P.

B

G.P.

C

H.P.

D

A.G.P

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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - 1
  1. In Delta ABC , " if " 2 r1 = 3r2= r3, then a: b: c =

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

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

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

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

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

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

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

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

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

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

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

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

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  14. IF the sides of a triangle ABC are 6,8,10 unit , then the radius of i...

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  15. In Delta ABC r1 cot "" (A)/(2) + r2 cot "" (B)/(2) + r3 cot "" ( C )...

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  16. r ( cot "" ( B) /(2) + cot "" ( C) /(2)) =

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  17. In Delta ABC, if a,b,c are in A.P, then r1,r2,r3 are in

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  18. Prove that r+ r3 + r1 -r2= 4 R cos B

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  19. IF in a Delta ABC, r3=r1+r2+r, then angle A+ angle B=

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  20. A tree is broken by wind, its upper part touches the ground at a point...

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