Let \[P({{x}_{1}},{{y}_{1}})\] and \[Q({{x}_{2}},{{y}_{2}})\]are two points such that their abscissa \[{{x}_{1}}\] and \[{{x}_{2}}\] are the roots of the equation \[{{x}^{2}}+2x-3=0\] while the ordinates \[{{y}_{1}}\] and \[{{y}_{2}}\] are the roots of the equation\[{{y}^{2}}+4y-12=0\]. The centre of the circle with PQ as diameter is [Orissa JEE 2005]

• A. \[(-1,-2)\]
• B. \[(1,\,\,2)\]
• C. \[(1,-2)\]
• D. \[(-1,2)\]