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``

For positive numbers a, b, c the least value of (a+b+c)((1)/(a)+(1)/(b)+(1)/(c)) is (a)3 (b)9 (c)27/4 (d)None of these

The value of 3/(25) is 1.2 (b) 0.12 (c) 0.012 (d) None of these

If a,b,c in R^(+), then (bc)/(b+c)+(ac)/(a+c)+(ab)/(a+b) is always (a) (a) =(1)/(3)sqrt(abc)(c) =(1)/(2)sqrt(abc)

If a : b=3:4, b : c4:7, t h e n(a+b+c)/c is equal to 1 b. 2 c. 3 d. 7

In triangle A B C ,ifPdotQ ,R divides sidesB C ,A C , and A B , respectively, in the ratio k :1(inor d e r)dot If the ratio ((a r E A P Q R)/(a r e a A B C)) IS 1/3,t h e nk is equal to 1/3 (b) 2 (c) 3 (d) none of these

If p is a prime number greater than 3, then (p^(2)-1) is always divisible by (a) 6 but not 12 (b) 12 but not 24(c)24 (d) None of these

If a,b,c are in G.P.and a^(1/x)=b^(1/y)=c^(1/z) then xyz are in AP(b)GP(c)HP(d) none of these

The smallest positive integer n for which ((1+i)/(1-i))^n=1 is (a)8 (b) 16 (c) 12 (d) None of these

The roots of the equation a x^2+b x+c=0, a in R^+, are two consecutive odd positive (A) |b|lt=4a (B) |b|geq4a (C) |b|geq2a (D) none of these

If a,b,c are in H .P.then (1)/(a)+(1)/(b+c),(1)/(b)+(1)/(a+c),(1)/(c)+(1)/(a+b) are in