Here you will learn some circle examples for better understanding of circle concepts. Example 1 : Find the equation of the normal to the circle \(x^2 + y^2 – 5x + 2y -48\) = 0 at the point (5,6). Solution : Since the normal to the circle always passes through the centre so the equation […]
Here you will learn equation of family of circles with examples. Let’ begin – Family of Circles (a) The equation of the family of circles passing through the point of intersection of two circles \(S_1\) = 0 & \(S_2\) = 0 is : \(S_1\) + K\(S_2\) = 0 (K \(\ne\) -1) (b) The
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Here you will learn common tangent to two circles i.e direct and transverse common tangents to two circles. Let’s begin – Common Tangent to Two Circles Let two circles having centers \(C_1\) and \(C_2\) and radii, \(r_1\) and \(r_2\) and \(C_1\)\(C_2\) is the distance between their centres then : (a) Both circles will touch :
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Diameter Form of Circle Equation The equation of the circle drawn on the straight line joining two points \((x_1, y_1)\) and \((x_2, y_2)\) is (\(x-x_1\))(\(x-x_2\)) + (\(y-y_1\))(\(y-y_2\)) = 0. This is known as diameter form of circle. where \((x_1, y_1)\) and \((x_2, y_2)\) 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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What is a Circle ? A circle is the locus of a point which moves in a plane in such way that its distance from a fixed point(in the same given plane) remains constant. The fixed point is called center of circle and the constant distance is called radius of the circle. The general equation
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