Maths and Physics Important Questions Quiz
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Questions and Answers

Which of the following best represents the derivative of $f(x) = 3x^2 + 2x - 5$ with respect to $x$?

  • $3x^2 - 2x - 5$
  • $6x - 2$
  • $6x + 2$ (correct)
  • $3x^2 + 2x$
  • In the equation $2x^3 - 4x^2 + 3x - 4 = 0$, what are the possible rational roots according to the rational root theorem?

  • $\pm1/2, \pm1/4, \pm1, \pm2$
  • $\pm1, \pm2, \pm4$ (correct)
  • $\pm1/2, \pm1, \pm2, \pm4$
  • $\pm1, \pm2$
  • Which of the following correctly describes the relationship between electric field intensity and electric potential?

  • Electric field intensity is the negative gradient of electric potential. (correct)
  • Electric field intensity is inversely proportional to electric potential.
  • Electric field intensity is directly proportional to electric potential.
  • Electric field intensity is the negative derivative of electric potential.
  • Study Notes

    Derivative of a Function

    • The derivative of f(x) = 3x^2 + 2x - 5 with respect to x represents the rate of change of the function.

    Rational Root Theorem

    • The rational root theorem is used to find possible rational roots of a polynomial equation.
    • In the equation 2x^3 - 4x^2 + 3x - 4 = 0, the rational root theorem is used to find the possible rational roots.

    Electric Field Intensity and Electric Potential

    • Electric field intensity and electric potential are related, with electric field intensity being the negative gradient of electric potential.

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    Description

    Test your knowledge with important questions from Class 12 maths and physics chapters. Evaluate your understanding of derivatives, rational roots, electric field intensity, and electric potential.

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