I am not certain what you want to do.
Since the independent variable may never exactly be 10.5, I drew that separately (‘i’ is not defined other than by default being the imaginary operator):
diracz = @(t) t==0;
x = linspace(0, 20, 1E+4);
Q = @(x) diracz(x-10.5) .* sin(x) * 10+1i;
figure
plot(x, real(Q(x)), '-b')
hold on
plot([10.49 10.5 10.51], real(Q([10.49 10.5 10.51])), '-r')
hold off
grid
ylim([-10 10])
.