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JEE Math Practice Question

The position of a moving car at time t is given by f(t) = at2 + bt + c, t > 0, where a, b and c are real numbers greater than 1. Then the average speed of the car over the time interval [t1 , t2 ] is attained at the point :

  1. A.$${{\left( {{t_1} + {t_2}} \right)} \over 2}$$
  2. B.$${{\left( {{t_2} - {t_1}} \right)} \over 2}$$
  3. C.2a(t1 + t2) + b
  4. D.a(t2 – t1) + b

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