https://padhaiwise.com/resources/class-10/ncert-solutions/maths-22/10-circles/ Recent content in NCERT Solutions Class 10 Maths Chapter 10 Circles on Padhaiwise en © 2026 Padhaiwise. All rights reserved. https://padhaiwise.com/resources/class-10/ncert-solutions/maths-22/10-circles/exercise-10.1/ Mon, 01 Jan 0001 00:00:00 +0000 https://padhaiwise.com/resources/class-10/ncert-solutions/maths-22/10-circles/exercise-10.1/ <h1 id="ncert-solutions-for-class-10-maths-chapter-10-circles-exercise-101">NCERT Solutions for Class 10 Maths Chapter 10 Circles Exercise 10.1<a class="anchor" href="#ncert-solutions-for-class-10-maths-chapter-10-circles-exercise-101">#</a></h1> <p>Exercise 10.1 introduces the concept of a tangent to a circle and the number of tangents from a point to a circle. It establishes the fundamental property that a tangent is perpendicular to the radius at the point of tangency.</p> <blockquote class='book-hint info'> <p><strong>Key Theorem:</strong> The tangent at any point of a circle is perpendicular to the radius through the point of contact.</p> https://padhaiwise.com/resources/class-10/ncert-solutions/maths-22/10-circles/exercise-10.2/ Mon, 01 Jan 0001 00:00:00 +0000 https://padhaiwise.com/resources/class-10/ncert-solutions/maths-22/10-circles/exercise-10.2/ <h1 id="ncert-solutions-for-class-10-maths-chapter-10-circles-exercise-102">NCERT Solutions for Class 10 Maths Chapter 10 Circles Exercise 10.2<a class="anchor" href="#ncert-solutions-for-class-10-maths-chapter-10-circles-exercise-102">#</a></h1> <p>Exercise 10.2 explores properties of tangents drawn from an external point. The key theorem states that tangent segments from an external point to a circle are equal in length.</p> <blockquote class='book-hint info'> <p><strong>Theorems used:</strong></p></blockquote><ul> <li>The tangent at any point of a circle is perpendicular to the radius through the point of contact.</li> <li>The lengths of tangents drawn from an external point to a circle are equal. If PA and PB are tangents from an external point P to a circle with centre O, then PA = PB.</li> </ul> <h2 id="1-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-245-cm"><b class="normal-text"> 1. 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) 24.5 cm </b><a class="anchor" href="#1-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-245-cm">#</a></h2> <details> <summary>Answer</summary><div class="markdown-inner book-answer-body"> <p>Let O be the centre and QT the tangent, with T the point of contact. Then QT = 24 cm and OQ = 25 cm.</p>