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Circle: A circle is a collection of all points in a plane which are at a constant distance from a fixed point. Diameter: A chord passing through the centre of the circle is Ncert 10th Class Maths Text Book Pdf Zip called diameter. It is the longest chord. Tangent: When a line meets the circle at one point or two coincidings The line is known as points, a tangent. The tangent to a circle is perpendicular to the radius through the point of contact. Theorem 1: Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
Given: XY is a tangent at point P to the circle with centre O. Theorem 2: A line drawn through the end point of a radius and perpendicular to it, is the tangent to the circle. To prove: AB is tangent at P. Therefore, every point on AB, other than P, lies outside the circle. This shows that AB meets the circle at point P. Hence, AP is a tangent to the circle at P. Theorem 3: Prove that the lengths of tangents drawn from an external point to a circle are equal Given: PT and PS are tangents from an external point P to the circle with centre O.
Centre: The fixed point is called the centre. Radius: The constant distance from the centre is called the radius. Chord: A line Ch 15 Maths Class 10 Pdf 360 segment joining any two points on a circle is called a chord. Properties of Tangent to Circle Theorem 1: Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
They are equally inclined to the segment joining the centre to that point i. RD Sharma Class 12 Solutions. Watch Youtube Videos.
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