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Co-ordinate geometry-1

Coordinate also called ordered pair. Hence manipulation of coordinate  such as Determine the distance between these points. Find the equation, midpoint, and slope of the line segment. Determine if the given lines are perpendicular or parallel. Also deal with graphic representation. Coordinate geometry

Composite Function

Composite functions are defined as one function  defined inside another function. Like ff(x)) or f(g(x)) etc. Another function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)) Composite function

Inverse of Function

Inverse  of functions are  an important concept .  Domain  values and Range  values gets interchange . Due to these values of functions, continuity of function also change.  Graph of inverse function also change and become y-axis oriented. Therefore graph of inverse is reflection of function graph about y = x.   Inverse of function

Completing Square

Completing the Square is to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial. Completing the square is a technique for converting a quadratic polynomial of the form  ax2 + bx + c to a(x-b)2+c. Hence this method is used to convert. Similarly […]

Logarithmic and exponential Function

The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1. Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. […]

 
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