Learning Mathematics

Linear inequality of one variable The linear inequalities in one variable can be expressed in any one of the following forms:          ax + b ³   0          ax + b £ 0          ax + b < 0          ax + b > 0 The solution set o…

Derivative of a Function at a point Let y = f(x) be a function defined in the interval (a, b) then the derivative or differential coefficient of the function f(x) at any point x of the interval is defined to be the limiting value of

10.1   Vector A quantity which is completely specified by its magnitude as well as direction is called the vector, e.g., weight, displacement, velocity, acceleration etc. are examples of vector quantities. Representation of Vector A vector …

Conic Sections A conic section or a conic is the locus of a point which moves in a plane in such a way that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line. The fixed point is called focus, the f…

Circle A circle is the locus of a point which moves so that its distance from a fixed point, called centre, is equal to a given distance. The given distance is called the radius of the circle. Different forms of equation of circle: ·        …

General equation of second degree The equation of the form ax 2 + 2hxy + by 2 + 2gx + 2fy + c = 0 is the general equation second degree in x and y. The pair of straight lines A 1 x + B 1 y + C 1 = 0 and A 2 x + B 2 y + C 2 = 0 can always b…