$\Delta ABC$
$\tan \frac{A}{2},\tan \frac{B}{2},\tan \frac{C}{2}$ in A.P.Then ${\sin ^2}\frac{A}{2},{\sin ^2}\frac{B}{2},{\sin ^2}\frac{C}{2}$ are in:a) A.P.
b) G.P.
c) H.P.
b) G.P.
c) H.P.
d) None of the options given
If the sum of the coefficients in the expansion of $(x+y)^n$ is 4096, then the greatest coefficient in the expansion is _ _ _ _ . Solution $C_0 + C_1 + C_2 + C_3 + ......................... + C_n =4096 $ $\therefore 2^n = 4096 =2^{12} $ $\Rightarrow n = 12 $ Greatest coefficient = ${}^{12}{C_6} = 924$