Exercise 9.1 — Length of Tangent

Length of the tangent drawn from an external point to a circle.

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Exercise 9.1 — Length of Tangent (Class 10)

Exercise 9.1 — Length of Tangent is a practice exercise in Tangents and Secants to a Circle for Class 10 Mathematics. Length of the tangent drawn from an external point to a circle. This exercise develops your skills in tangent from external point and angle in alternate segment — both of which are tested directly in CBSE, Telangana and Andhra Pradesh board examinations.

How to Approach Exercise 9.1

  • Before writing, re-read each problem and identify: what is given, what is asked, and which formula or method applies.
  • This exercise tests tangent from external point — master the underlying concept from the introduction lesson before attempting.
  • Show every step of your working in board exams — step marks are awarded independently of the final answer.
  • After solving each problem, verify your answer by substituting back or checking it against all given conditions.
  • Note the specific formula or identity used in each problem — these same tools appear in later exercises and in Class 10 board papers.
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Marks and Exam Pattern for Exercise 9.1

Problems from Exercise 9.1 in Tangents and Secants to a Circle appear regularly in Class 10 board examinations across CBSE, Telangana and Andhra Pradesh. The questions test angle in alternate segment and length of tangent. Work through every problem in this exercise before your exam — the examiner draws from these standard problem types when setting the board paper.

How to Use This Lesson

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