These solutions are applicable for the session onward. Circle: A circle is the set of points in a plane which are at the same distance from a fixed point in the Vedantu Class 10 Maths Ch 9 2020 plane. Tangent to a circle: If a line drawn in the plane of a circle intersects the circle in one and only one point, then the line is called a tangent to the circle and the point at which the line intersect the circle is called the point of contact of the line with the circle.
Theorems on tangent to a circle: i. A tangent to a circle is perpendicular to the radius drawn from point of contact or A line drawn perpendicular to a radius at its end point on the circle is a tangent to the circle. Number of tangents to a circle: There are the following cases: 1.
There is no tangent to a circle passing through a point lying inside the circle. There is one and only one tangent to a circle passing through a point lying on the circle.
There are exactly two tangents to a circle through a point lying outside the circle. Prove that tangents drawn at the ends of a diameter of a circle are parallel to each other. Prove that the lengths of tangents drawn from an external point to a circle are equal. All the contents on Tiwari Academy is free to use without any login or registration.
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If someone is facing difficulty during the use of contents of Tiwari Academy, please contact us for help. What do you understand by a Circle? What is tangent to a circle? How many theorems are there in Class 10 Chapter 10 Circles to prove?
How many tangents to a circle are possible? Historical Facts! The circle is the most primitive and rudimentary of all human inventions. It is the corner stone in the foundation of science and technology. It is the basic tool used by greatest artists and architects in the history of mankind.
The ratio of the circumference of a circle to its diameter is always a constant. Important Questions on Class 10 Maths Chapter 10 From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is A 7 cm B 12 cm C 15 cm D Let O be the centre of the circle. Hence, the option A is correct. Prove that the tangents drawn at the ends of a diameter of a circle are parallel. We know that the radius is perpendicular to tangent.
Hence, PQ is parallel to PS. Chapter Constructions �.
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