TargetIIT

1)If a>0>b>c & the system of eqn ax+by+cz,bx+cy+az=0,cx+ay+bz=0 has a non trivial soln,then find nature of roots of  

(b+c)t[p]2[/p]+(c+a)t+a+b=0 .
From first 3 eqns i got a+b+c=0  what next ??

2)

Let (1+x)[p]2n[/p]=a[ss]0[/ss]+a[ss]1[/ss]x+....+a[ss]2n[/ss]x[p]2n[/p]
A:a[ss]0[/ss]+a[ss]2[/ss]+a[ss]4[/ss]....+a[ss]2n[/ss]=1/2 (a[ss]0[/ss]+a[ss]1[/ss]+a[ss]2[/ss]....+a[ss]2n[/ss])
R:a[ss]n+1[/ss]<a[ss]n[/ss] & a[ss]n-3[/ss]=a[ss]n+3[/ss]

which option do u guys support ??  a/b

Well if you have got a+b+c=0, then t=1 is a root.

Q2. I would say (c)

thanks sir


@asish
how ??

2) the exapansion has 2n+1 terms  and a[ss]n+1[/ss] being the greatest .

thus R is false .