Exercise Ex How many tangents can a circle have? Solution: There can be infinitely many tangents to a circle. Fill in the blanks: i A tangent to a circle intersects it in ���� point s.
You can also download the free PDF of Ex Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle. A circle is a set of all points in a plane at a fixed distance from a fixed point in a plane. The fixed point is called the centre of the circle. The fixed distance is called the radius of the circle. In Fig. In this case, PQ is called a non-intersecting line with respect to the circle.
In this case, we call the line PQ a secant of the circle. In this case, the line is called a tangent to the circle. A tangent to a circle is a straight line which touches the circle at only one point. The point where the tangent touches the circle is called point of contact of the tangent to the circle. A tangent to a circle is a special case of a secant, when the two ends points of its corresponding chord coincides.
Theorem: Tangent at any point on a circle is perpendicular to the radius through the point of contact. CB is the tangent to the given circle touching at A and OA is the radius. The length of the segment of a tangent from an external point to the point of contact with the circle is called the length of the tangent. The lengths of tangents drawn from an external Class 7 Maths Ch 10 Ex 10.1 Java point to a circle are Class 8 Maths Ch 10 Ex 10.1 Quote equal. Formulae Handbook for Class 10 Maths and Science. Solution: Class 10 Maths Circles Mind Map Introduction A circle is a set of all points in a plane at a fixed distance from a fixed point in a plane.
Line and a Circle In Fig. Tangent A tangent to a circle is a straight line which touches the circle at only one point.
Number of Tangents from a Point to Circle i No tangent can be drawn from the point lying inside the circle, as shown in fig. Theorem Related to Length of Tangents From the External Points The lengths of tangents drawn from an external point to a circle are equal.
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