`a+b+c=6anda , b , c in R^+p r o v e t h a t1/a+4/b+9/cgeq6`

If a+b+c=6 and a,b,c in R^(+) then prove that (1)/(6-a)+(1)/(6-b)+(1)/(6-c)>=(3)/(4)

If a^2+b^2+c^2-a b-b c-c a=0,\ p rov e\ t h a t\ a=b=c

If a ,b ,c in R^+t h e n(a+b+c)(1/a+1/b+1/c) is always (a)geq12 (b)geq9 (c)lt=12 (d)none of these

If a ,b ,c in R^+t h e n(a+b+c)(1/a+1/b+1/c) is always (a) geq12 (b) geq9 (c) lt=12 (d)none of these

If a ,b ,c in R^+t h e n(a+b+c)(1/a+1/b+1/c) is always (a) geq12 (b) geq9 (c) lt=12 (d)none of these

If a ,b ,c in R^+t h e n(a+b+c)(1/a+1/b+1/c) is always (a) geq12 (b) geq9 (c) lt=12 (d)none of these

If a ,b ,c in R^+, t h e n(b c)/(b+c)+(a c)/(a+c)+(a b)/(a+b) is always

If the p t h ,\ q t h\ a n d\ r t h terms of a G.P. are a ,\ b ,\ c respectively, prove that: a^((q-r))dot^b^((r-p))dotc^((p-q))=1.

If tanA=5/6 and tanB=1/(11),\ p rov e\ t h a t\ A+B=pi/4

If (p+q)t h term of a G.P. is aa n d its (p-q)t h term is bw h e r ea ,b in R^+ , then its pth term is sqrt((a^3)/b) b. sqrt((b^3)/a) c. sqrt(a b) d. none of these