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

Secants, Tangents And Their Properties — Study Plan

NIOS · Class 10 · Maths

A step-by-step study plan for Secants, Tangents And Their Properties, NIOS Class 10 Maths: what to learn first, what to practise and when to revise.

35 questions26 flashcards4 formulas & key relations5 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

Free trial, no card needed.

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

One of 9 illustrations for Secants, Tangents And Their Properties in Super Tutor — alongside flashcards, concept maps and practice questions.

Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Basic Ideas: Secant, Tangent, and Point of Contact, 2. Tangent-Radius Property and Tangents from an External Point, 3. Intersecting Chords and Secant-Tangent Relations.

2
Day 3

Practise

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

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Secants, Tangents And Their Properties after a week. Use flashcards for quick recall and try past exam questions on 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 builds a day-by-day plan for NIOS Class 10 Maths that fits your exam date and pace.

Create My Study Plan

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 Basic Ideas: Secant, Tangent, and Point of Contact, Tangent-Radius Property and Tangents from an External Point, Intersecting Chords and Secant-Tangent Relations, Angle Between a Tangent and a Chord. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How should I revise Secants, Tangents And Their Properties for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 35 practice questions on Secants, Tangents And Their Properties. Revise 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 NIOS Class 10 Maths Study Plan

For serious students

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

Quizzes, flashcards, an AI doubt solver and a study plan for NIOS Class 10 Maths. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free