1.

If the roots of the equation \[{{x}^{2}}-2ax+{{a}^{2}}+a-3=0\]are real and less than 3, then [IIT 1999; MP PET 2000]

A. \[a<2\]
B. \[2\le a\le 3\]
C. \[3<a\le 4\]
D. \[a>4\]
Answer» B. \[2\le a\le 3\]


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