Skip to main content
Super TutorResources
Chapter 17 of 26
Flashcards

Secants, Tangents And Their Properties — Flashcards

NIOS · Class 10 · Maths

26 flashcards for Secants, Tangents And Their Properties (NIOS Class 10 Maths) to test yourself on key terms and facts.

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 flashcards 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.

26 Flashcards·
Definitions in useTangents from a pointTangent-radius propertyPythagoras with tangentEqual tangents
Card 1Definitions in use

A line touches a circle at exactly one point P. What is it called, and what is P called?

Answer

Step 1: A line touching a circle at exactly one point is a tangent. Step 2: The touching point is the point of contact. Answer: The line is a tangent, and P is the point of contact.

Card 2Definitions in use

A line cuts a circle at two distinct points A and B. What is it called?

Answer

Step 1: A line intersecting a circle in two distinct points is a secant. Step 2: Since it meets the circle at A and B, it is not a tangent. Answer: The line is a secant.

Card 3Tangents from a point

A point P lies outside a circle. How many tangents can be drawn from P to the circle?

Answer

Step 1: A point outside the circle allows two tangents. Step 2: These two tangents are equal in length. Answer: Two tangents can be drawn from an external point.

Card 4Tangents from a point

A point P lies on a circle. How many tangents can be drawn from P?

Answer

Step 1: A point on the circle gives only one tangent. Step 2: Any other line through P cuts the circle again. Answer: Only one tangent can be drawn.

Card 5Tangents from a point

A point P lies inside a circle. How many tangents can be drawn from P?

Answer

Step 1: A point inside the circle does not allow a tangent. Step 2: Any line through P meets the circle at two points. Answer: No tangent can be drawn.

Card 6Tangent-radius property

Why is the radius through the point of contact perpendicular to the tangent?

Answer

Step 1: From the centre O to the tangent line, the shortest distance is the perpendicular. Step 2: The radius through the point of contact gives that shortest distance. Step 3: Therefore the radius is…

Card 7Pythagoras with tangent

Find the length of tangent PT if OP = 5 cm and radius OT = 3 cm.

Answer

Step 1: Use OP^2 = OT^2 + PT^2. Step 2: Substitute values: 5^2 = 3^2 + PT^2. Step 3: 25 = 9 + PT^2. Step 4: PT^2 = 16. Step 5: PT = 4 cm. Answer: PT = 4 cm.

Card 8Equal tangents

Find the length of each tangent from P if OP = 25 cm and radius = 7 cm.

Answer

Step 1: Use OP^2 = OT^2 + PT^2. Step 2: Substitute values: 25^2 = 7^2 + PT^2. Step 3: 625 = 49 + PT^2. Step 4: PT^2 = 576. Step 5: PT = 24 cm. Step 6: The two tangents from an external point are equal…

+18 more flashcards

Practise All

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 many flashcards are available for Secants, Tangents And Their Properties?
There are 26 flashcards for Secants, Tangents And Their Properties covering key definitions, facts and ideas. A few sample cards are shown on this page.
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 Flashcards

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