If the angle between the ratio of a circle is 100°, then the angle between the tangents at the end of these radii is
Boost your Class 10th Maths preparation with NCERT solutions and MCQ-based questions from Chapter 10: Circles. Solve exercise questions, short-answer problems, and detailed explanations to understand concepts like tangents, chords and their properties. These resources align with the CBSE syllabus, ensuring thorough exam readiness. Regular practice will enhance your problem-solving abilities and boost your confidence for board exams. Access step-by-step solutions and revision notes tailored to simplify learning and help students excel. Focus on mastering the properties of circles and their applications to strengthen your foundation. Start practicing today to secure excellent results in exams. Begin now!
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We are given:
– The angle between the two radii of a circle is 100°.
Key property of tangents
The tangents drawn at the ends of the two radii are perpendicular to their respective radii. Therefore, the angle between the tangents is the **supplement** of the angle between the radii.
Calculate the angle between the tangents
The sum of the angle between the radii and the angle between the tangents is 180° (since they form a quadrilateral with two right angles). Thus:
Angle between tangents = 180° – Angle between radii.
Substitute the given angle between the radii:
Angle between tangents = 180° – 100° = 80°.
This question related to Chapter 10 Mathematics Class 10th NCERT. From the Chapter 10 Circle. Give answer according to your understanding.
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