If two perpendicular tangents PA and PB are drawn from an external point to a circle of radius 4cm, then the length of each tangent is
Kickstart 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 master concepts like tangents, chords and their properties. These resources align with the CBSE syllabus, ensuring effective exam readiness. Regular practice will sharpen your problem-solving skills 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 understanding the properties of circles and their real-life applications to strengthen your foundation. Begin practicing today to achieve excellent results and secure higher scores in exams. Start now!
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Given:
– Radius of circle = 4 cm,
– Tangents PA and PB are perpendicular.
The tangents form a square with the radii. The diagonal of the square is the hypotenuse:
Diagonal = √(4² + 4²) = √32 = 4√2.
Side (tangent length) = Diagonal / √2 = 4√2 / √2 = 4 cm.
This question is associated with Chapter 10 of the Class 10th NCERT Mathematics textbook, which deals with the topic of “Circles.” Answer the question based on your understanding of the concepts covered in this chapter.
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