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In a triangle ABC, if A,B, C are in A.P ...

In a triangle ABC, if A,B, C are in A.P and b:c =`sqrt3:sqrt2`, then

A

`sin(2C-A)=sin((B)/(4))`

B

`sin(C-A)=sin((B)/(4))`

C

`sin(A+C)=cos 2B`

D

`cos(A-C)= sin ((B)/(4))`

Text Solution

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A
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If the angles of Delta ABC are in A.P. and b:c = sqrt(3) : sqrt(2) , then show that A= 75^(@) .

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Knowledge Check

  • In triangle ABC are in A.P and b:c= sqrt(3): sqrt(2) , then

    A
    `sin (2C-A) = sin(B//4)`
    B
    `sin(A-C)=sin(B//4)`
    C
    `sin(A+C)=cosB`
    D
    `cos(A-C)=sin(B//2)`
  • If the angles of triangles ABC are in A.P. and b: c= sqrt3 : sqrt2 " then " angle a =

    A
    ` 75 ^(@) `
    B
    ` 45 ^(@) `
    C
    ` 30 ^(@) `
    D
    ` 60 ^(@) `
  • if a, b,c are in A.P. then b =

    A
    `a+c`
    B
    `(a+c)/(2)`
    C
    `a-c`
    D
    `(a-c)/2`
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