" I8."(L)/(S):(12)/(19)::(I)/(T):?

Select the related letter /number from the given alternatives. L/S:12/19::I/T:?

i^(9)+i^(19)

i^(9)+i^(19)

Simplify: (i) 1/(-12)+2/(-15) (ii) (-8)/(19)+(-4)/(57)

(19)^(12)xx(19)^(8)-:(19)^(4)=(19)^(?)6b.8c.12d24

Show that ((19- 7i)/(9 + i))^(12) + ((20 - 5i)/(7 - 6i))^(12) is real.

Evaluate: (i) .^(12)C_(1)+.^(12)C_(2)+.^(12)C_(3)+ . . .+.^(12)C_(12) (ii) .^(19)C_(3)+.^(19)C_(5)+.^(19)C_(7)+ . . .+^(19)C_(19) .

Show that ((19+9i)/(5-3i))^(15)-((8+i)/(1+2i))^(15) is purely imaginary.

Let I=int_(10)^(19)(sinx)/(1+x^8)dx . Then,