Here, you will learn learn formula for variance and standard deviation and relationship between variance and standard deviation. Let’s begin – Variance and Standard Deviation : The variance of a distribution is, the mean of squares of deviation of variate from their mean. It is denoted by σ2 or var(x). The positive square root of […]
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Here, you are going to learn formula for mean median and mode and how to find mean, median and mode using those formula with examples. In statistics, mean is the average of numbers. The median of a series is the value of middle term of the series when the values are written in ascending order.
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Here, you will learn modulus function and what is the domain and range of modulus function. Let’s begin – The function f(x) defined by y = |x| = {xif x≥0−xif x<0 is called the modulus function. It is also called absolute value function.
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In this post, you will learn how to separate pair of straight lines with example. Let’s begin – How to Separate Pair of Straight Lines (i) Let us consider the homogeneous equation of second degree as ax2+2hxy+by2 = 0 ……(i) which represent pair of straight lines passes through the origin. Now, we divide by x2,
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Here, you will learn what is rectangular hyperbola and parametric equation of rectangular hyperbola with example. Let’s begin – Rectangular Hyperbola The particular kind of the hyperbola in which the length of it’s transverse axis and conjugate axis are equal is called rectangular hyperbola. The eccentricity of the rectangular hyperbola is √2 and the length
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Equation of Ellipse in Standard Form The equation of ellipse in standard form referred to its principal axes along the coordinate axes is x2a2 + y2b2 = 1, where a > b & b2 = a2(1–e2) ⟹ a2 – b2 = a2e2. where e = eccentricity (0 < e < 1)
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Diameter Form of Circle Equation The equation of the circle drawn on the straight line joining two points (x1,y1) and (x2,y2) is (x−x1)(x−x2) + (y−y1)(y−y2) = 0. This is known as diameter form of circle. where (x1,y1) and (x2,y2) are coordinates of two ends of diameter of circle. Note – If
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The normal at a point is the straight line which is perpendicular to the tangent to circle at the point of contact. Normal at a point of the circle passes through the center of circle. Here, you will learn how to find equation of normal to a circle with example. Equation of Normal to a
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When a straight line meet a circle on two coincident points then it is called the tangent to a circle. Here, you will learn condition of line to be a tangent to a circle and equation of tangent to a circle with example. Condition of Tangency : The line L = 0 touches the circle
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Here, you will learn what is odd even functions and how to determine if given function is odd or even with example. Let’s begin – Odd Even Function : Let a function f(x) such that both x and -x are in its domain then If f(-x) = f(x) then f is said to be an
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