Short Questions by Mr. Akhtar Abbas

  • We are very thankful to Mr. Akhtar Abbas for sharing these short questions.
  • These short questions are selected from previous 5 years papers of different boards. Solve these at your own to perform well in annual exams.
  • Recommended book for these short questions is “Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Textbook Board (PTB) Lahore, Pakistan.”


  • Define function with an example.
  • Define even and odd functions.
  • Find the domain and range of $\sqrt{x^2-4}$.
  • Define continuous function.
  • Explain why the function $f(x)=\frac{2x}{x-2}$ is discontinuous at $x=2$.
  • Prove that the derivative of a constant is zero.
  • Find the derivative of $x^{100}$ by definition.
  • What do you mean by power series.

For more please see the PDF of respective chapters.

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