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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 point to a circle are 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. Ex From a point Q, the length of the tangent to a circle is 24 Class 10 Maths Ncert Book Ch 1 Kit cm and the distance of Q from the centre is 25 cm. The radius of the circle is a 7 cm Ch 8 Maths Class 10 Ncert Solutions Kit b 12 cm c 15 cm d Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle. Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.
A quadrilateral ABCD is drawn to circumscribe a circle see figure.
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