====== Definitions: Mathematics 11: PTB by Muzzammil Subhan======
Definitions from **Textbook of Algebra and Trigonometry Class XI**, published by Punjab Textbook Board (PTB) Lahore, Pakistan. We are very thankful to [[:people:muzzammil-subhan]] for his valuable contribution. Download or view PDF for all definitions. Samples is given below

=====Sample=====

  * **Exponential Function:** A function in which variable appear as power of a constant is called exponential Function. e.g. $y=2^x$, $y=e^x$
  * **Logarithmic Function:** The functions $f(x)=\log_a x$ and $f(x)=\log_e x$ are called general and natural logarithmic function respectively.
  * **Explicit Function:** If $y$ is easily expressed in term of $x$ then $y$ is called an explicit function. E.g. $y=x^2+3x$
  * **Implicit Function:** If y is not expressed in term of x then y is called an implicit function. E.g. $x^2+xy+y^2=4$
  * **Even Function:** A function is said to be an even function if $f(-x)=f(x)$
  * **Odd Function:** A function is said to be an odd function if $f(-x)=-f(x)$
  * **Circle:** “A set of all points in a plane which are equidistant from a fixed point is called circle.” The fixed point is called centre and fixed distance is called radius of circle.
  * **Point Circle:** A circle whose radius is zero is called point circle.
  * **Parabola:** “A set of all points in a plane which are equidistant from fixed point and fixed line.” The fixed point is called focus and fixed line is called directrix of parabola.
  * **Ellipse:** A set of all points in a plane such that distance of each point from a fixed point bear a constant ratio less then one to the distance from a fixed line.
  * **Hyperbola:** A set of all points in a plane such that distance of each point from a fixed point bear a constant ratio greater then one to the distance from a fixed line.

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