Polar Equation of a Circle Polar form of the equation of the circle is almost similar to the parametric form of the equation of the circle. We usually write polar form of the equation of circle whose center is origin. Let’s take a point P(rcosϴ, rsinϴ) on the boundary of the circle, where r is […]

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Equation of a Circle when Center is not Origin Equation of the circle when center is not origin. Let P (x, y) are the cartesian coordinate of points on the circle, and (h, k) are the cartesian coordinate of the center of the circle, which is not the origin. Therefore, OP is the radius of […]

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Equation of a Circle – General Form The general form of the equation of a circle is represented by x² + y² + 2gx + 2fy + c = 0. x and y are the arbitrary points on the circumference of the circle, and g, f and c are the constants. This general form of […]

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Equation of a Circle when the Center of Circle Coincides with the Origin In this tutorial we will learn, equation of a circle when the center of circle coincides with the origin with examples. Equation of a circle with center at (h, k) and radius equal to r, is (x – h)² + (y – […]

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Equation of a Circle – Standard Form What is the equation of the Circle? In this tutorial we will discuss what is an equation of a circle formula in standard form and find the equation of a circle with examples. First we know what is a circle ? A circle is a set of all […]

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Complex Numbers – Definition and Examples Complex Numbers The concept Complex numbers was first used in 1st century by a Greek mathematician Alexandria, when he tried to find the square root of a negative number. After that in 16th century complex number was define by Italian mathematician Gerolamo Cardano, in the process of finding the […]

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Horizontal Line: Definition, Formula, Properties and Examples What is a Horizontal Line? In Cartesian coordinate system, we draw a vertical and a horizontal line. (1) Y-axis is Vertical and (2) X-axis is horizontal lines on a plane. In coordinate system, meaning of horizon is a straight line that is mapped from left to right. A […]

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Vertical Line: Definition, Formula, Equation, Properties and Examples What is a Vertical Line? French Mathematician Rene Descartes trying to solve the problem of describing the position of a point on a plane with the Cartesian coordinate system and the cartesian plane. In Cartesian coordinate system, we derive a vertical and a horizontal line. When we […]

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Equality – Subtraction Property Definition: Subtraction property of equality states that if using the same mathematical operation(same number is subtracted) on both sides of an equation, then both sides of equation will remain equal. means in a equation, without changing the solution of the equation, same number may be subtracted from both sides. This property […]

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Equality – Addition Property Definition: Addition property of equality states that if using the same mathematical operation(same number is added) on both sides of an equation, then both sides of equation will remain equal. In above example, we add 3 on both sides. When we add 3 left side we get (9 – 3 + […]

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