Skip to main content
Super TutorResources
Chapter 17 of 26
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Study Plan

Secants, Tangents And Their Properties

NIOS · Class 10 · Maths

Step-by-step guide to study Secants, Tangents And Their Properties in NIOS Class 10 Maths. Topics to cover, practice strategy, and time allocation.

35 questions26 flashcards5 concepts

Interactive on Super Tutor

Studying Secants, Tangents And Their Properties? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for study plan and more.

Try Super Tutor — Free

1,000+ Class 10 students started this chapter today

A diagram illustrating the three possible ways a line can interact with a circle: not intersecting, intersecting at two points (secant), and touching at one point (tangent).
Super Tutor

This is just one of 9+ visuals inside Super Tutor's Secants, Tangents And Their Properties chapter

Explore the full set

Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas, and key concepts.

2
Day 3

Practice Problems

Solve textbook exercises and additional practice questions. There are 35 questions available for this chapter.

3
Day 4

Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.

4
Day 7

Spaced Revision

Revisit Secants, Tangents And Their Properties after a week. Use flashcards for quick recall. Solve previous year questions from this chapter.

What to Focus On

  • A line touching a circle at one point is a tangent.
  • The point where a tangent touches the circle is the point of contact.
  • A line cutting a circle at two points is a secant.

  • The radius through the point of contact is perpendicular to the tangent.
  • OP is the shortest distance from the centre to the tangent line.
  • The angle between the radius and tangent at the point of contact is 90°.

  • From an external point, two tangents can be drawn.
  • Tangents from the same external point are equal in length.
  • The two tangents are equally inclined to the line joining the point to the centre.

Common Mistakes to Avoid

A point on the circle can have two tangents drawn from it.

A point inside the circle can have a tangent drawn through it.

A tangent can intersect the circle at two points if the line is very close to the circle.

Memory Tips

Tangent definition

Point of contact

Tangent as limiting case of secant

Radius perpendicular to tangent

Want a personalised study plan?

Super Tutor creates a day-by-day plan for NIOS Class 10 Maths that adapts to your exam date and pace.

Create My Study Plan — Free

Frequently Asked Questions

What are the important topics in Secants, Tangents And Their Properties for NIOS Class 10 Maths?
Key topics in Secants, Tangents And Their Properties include Circle-Line Relationships Overview, Secants and Tangents - Concept Overview, Circle Line Relationships Overview. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Secants, Tangents And Their Properties — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 35 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Secants, Tangents And Their Properties

All 26 chapters — NIOS Class 10 Maths Study Plan

For serious students

Get the full Secants, Tangents And Their Properties chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for NIOS Class 10 Maths.

Try Super Tutor Free
Try the full chapter — Free