We report the results on D-0-(D) over bar (0) mixing in the decays of D-0 -> K+pi(-) and D-0 -> K-s(0) pi(+)pi(-) , and CP violation in D-0 -> pi(0)pi(0) using a data sample with an integrated luminosity of about 1 ab(-1) recorded with the Belle detector, at different center of mass energies. The mixing is observed in D-0 -> K+pi(-) with the mixing parameters x'(2) = (0.09 +/- 0.22) x 10(-3), y' = (4.6 +/- 3.4) x 10(-3) and the ratio of doubly Cabibbo-suppressed to Cabibbo-favored decay rates R-D = (3.53 +/- 0.13) x 10(-3), where the quoted uncertainties combine both statistical and systematic contributions. For the D-0 -> K-s(0) pi(+)pi(-) decay, assuming CP conservation we measure mixing parameters x = (0.56 +/- 0.19(-0.09-0.09)(+0.03+0.06))% and y = (0.30 +/- 0.15(-0.05-0.06)(+0.04+0.03))%, where the uncertainties are statistical, experimental systematics, and that due to amplitude model. We measure the mixing parameters allowing CP violation for this decay mode, and obtain vertical bar q/p vertical bar = 0.90(-0.15-0.04-0.05)(+0.16+0.05+0.06) and arg(q/p)=(-6 +/- 11 +/- 3(-4)(+3))degrees that are consistent with no CP violation. The time-integrated CP asymmetry in the decay D-0 > F071-0 is measured to be, [-0.03 +/- 0.64(stat) +/- 0.10(syst)]%, consistent with CP conservation. We also present an updated measurement of CP asymmetry in D-0 -> K-s(0) pi(0).