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JEE Math Practice Question

If the curve y = ax2 + bx + c, x$$ \in $$R, passes through the point (1, 2) and the tangent line to this curve at origin is y = x, then the possible values of a, b, c are :

  1. A.a = $$-$$ 1, b = 1, c = 1
  2. B.a = 1, b = 1, c = 0
  3. C.a = $${1 \over 2}$$, b = $${1 \over 2}$$, c = 1
  4. D.a = 1, b = 0, c = 1

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