Here you will learn formula for the total surface area and curved surface area of frustum of cone with derivation and examples. Let’s begin – What is Frustum of Cone ? Frustum of a cone is the solid obtained after removing the upper portion of the cone by a plane parallel to its base. The […]
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Here you will learn formula for the volume of a frustum of a cone with derivation and examples based on it. Let’s begin – What is Frustum of Cone ? Frustum of a cone is the solid obtained after removing the upper portion of the cone by a plane parallel to its base. The lower
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Here you will learn what is combined mean formula and how to find combined mean with examples. Let’s begin – Combined Mean Formula If \(\bar{x_1}\) and \(\bar{x_2}\) be the means of two groups having \(n_1\) and \(n_2\) terms respectively then the mean(combined mean) of their composite group is given by Combined mean = \(n_1\bar{x_1} +
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Here you will learn what is weighted mean formula and how to calculate weighted mean with examples. Let’s begin – Weighted Mean Formula If \(w_1\), \(w_2\), ……\(w_n\) are the weights assigned to the values \(x_1\), \(x_2\), …..\(x_n\) respectively then their weighted mean is defined as Weighted mean = \(w_1x_1 + w_2x_2 +……+ w_nx_n\over {w_1 +…….+
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Here you will learn what is the formula for mode of grouped and ungrouped data and how to find mode with examples. Let’s begin – What is Mode ? Mode is the size of the variable which occurs most frequently. Formula for Mode : (i) For ungrouped distribution : The value of that variate which is
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Here you will learn what is the formula for median of grouped and ungrouped data and how to find median with examples. Let’s begin – What is Median ? Median is defined as the measure of central term when they are arranged in ascending or descending order of magnitude. Formula for Median : (i) For
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Here you will learn what is the formula for mean of grouped and ungrouped data and how to find mean with examples. Let’s begin – The formula for mean median and mode for grouped and ungrouped frequency distribution is given below. Formula for Mean : (i) For ungrouped distribution : If \(x_1\), \(x_2\), …… \(x_n\) are
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Here you will learn what is the formula to find the length of latus rectum of hyperbola with examples. Let’s begin – Length of Latus Rectum of Hyperbola Formula (i) For the hyperbola \(x^2\over a^2\) – \(y^2\over b^2\) = 1 Length of Latus Rectum = \(2b^2\over a\) (ii) For the hyperbola -\(x^2\over a^2\) + \(y^2\over
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Here you will learn what is the eccentricity of hyperbola formula and how to find eccentricity with examples. Let’s begin – Eccentricity of Hyperbola Formula (i) For the hyperbola \(x^2\over a^2\) – \(y^2\over b^2\) = 1 Eccentricity (e) = \(\sqrt{1 + {b^2\over a^2}}\) (ii) For the hyperbola -\(x^2\over a^2\) + \(y^2\over b^2\) = 1 Eccentricity
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Here you will learn formula to find the equation of directrix of hyperbola with examples. Let’s begin – Directrix of Hyperbola Equation (i) For the hyperbola \(x^2\over a^2\) – \(y^2\over b^2\) = 1 The equation of directrix is x = \(a\over e\) and x = \(-a\over e\) (ii) For the hyperbola -\(x^2\over a^2\) + \(y^2\over
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