If (Ina)/(b-c)=(Inb)/(c-a)=(Inc)/(a-b), ...

If `(Ina)/(b-c)=(Inb)/(c-a)=(Inc)/(a-b)`, prove the following .
`a^a+b^b+c^cge3`

Verified by Experts

The correct Answer is:

`implies` `(a^a+b^b+c^c)/3 ge 1 implies a^a+b^b+c^c ge 3`

Similar Questions

Explore conceptually related problems

If (Ina)/(b-c)=(Inb)/(c-a)=(Inc)/(a-b) , prove the following . a^a.b^b.c^c=1

If (Ina)/(b-c)=(Inb)/(c-a)=(Inc)/(a-b) , prove the following . abc=1

If (Ina)/(b-c)=(Inb)/(c-a)=(Inc)/(a-b) , prove the following . a+b+cge3

If (lna)/(b-c)=(lnb)/(c-a)=(lnc)/(a-b) , prove the following . a^(b^2+bc+c^2).b^(c^2+ca+a^2).c^(a^2+ab+b^2)=1

Add the following: a-b+ab , b-c+bc ,c-a+ac

If (logx)/(b-c)=(logy)/(c-a)=(logz)/(a-b) ,then the value of x^(b+c).y^(c+a).z^(a+b) is

Show that (a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a) =0

|(a,b,c),(b,c,a),(c,a,b)| =

Verify that a-: (b+c) ne ( a-: b) + ( a-: c) for each of the following values of a , b and c. : a=12,b=-4,c=2 .

If 1/a+1/(a-b)+1/c+1/(c-b)= 0 and a + c-b!=0 , then prove that a, b, c are in H.P.