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Tangents at Ends of a Diameter
Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
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Tangents at Ends of a Diameter
What is it?
Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
In simple words
- Each is perp to the diameter.
- parallel pair
- touches at one point
- radius perp tangent
Important terms
Tangents At Ends Of A Diameter: Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
What you should learn
- Define and explain tangents at ends of a diameter.
- Apply tangents at ends of a diameter to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Examples
- parallel pair
- touches at one point
- radius perp tangent
CORE UNDERSTANDING
Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
EXAM APPLICATION
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Recommended for Class 10
Full school-level explanation
Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
Learn the idea, then use it:
WHAT — TANGENTS AT ENDS OF A DIAMETER
Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
HOW — Use the idea
Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check the result.
CORE UNDERSTANDING
Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
Remember
- parallel pair
- touches at one point
- radius perp tangent
Examples
- parallel pair
- touches at one point
- radius perp tangent
- TANGENTS AT ENDS OF A DIAMETER: Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
EXAM APPLICATION
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Remember
- correct term
- chapter link
- clear application
Examples
- Define first
- Show the rule or evidence
- Check units, labels, and conclusion
Remember
- parallel pair
- touches at one point
- radius perp tangent
- keep the ideas separate
- parallel pair
- touches at one point
- radius perp tangent
- correct term
Deeper understanding
Go beyond memorising Tangents at Ends of a Diameter. Connect the definition to reasons, relationships, exceptions, and exam wording.
Common mistakes
Exam focus
Core Idea
Key Points
Simple Check
How to Answer
Exam focus
Quick revision
- parallel pair
- touches at one point
- radius perp tangent
- keep the ideas separate
- Tangents At Ends Of A Diameter: Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are pa
- WHAT — TANGENTS AT ENDS OF A DIAMETER: Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are pa
Do not merge tangents at ends of a diameter with a neighbouring idea that uses a different definition, rule, or method.
For long answers on Tangents at Ends of a Diameter: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- parallel pair
- touches at one point
- radius perp tangent
- keep the ideas separate
Important formulas
- parallel pair
- touches at one point
- radius perp tangent
Common exam traps
- Do not merge tangents at ends of a diameter with a neighbouring idea that uses a different definition, rule, or method.
- Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
Long question structure
Definition → key parts → example → exam caution
Common Mistakes
Common Mistakes
- Mistake
Do not merge tangents at ends of a diameter with a neighbouring idea that uses a different definition, rule, or method.
- Mistake
Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
- Mistake
Do not merge tangents at ends of a diameter with a neighbouring idea that uses a different definition, rule, or method.
Revision Zone
60-Second Revision
Quick cues from this topic — use them for last-minute revision.
parallel pair
touches at one point
radius perp tangent
keep the ideas separate
Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
- Definition
- Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
- Example
- parallel pair
- Critical warning
- Do not merge tangents at ends of a diameter with a neighbouring idea that uses a different definition, rule, or method.
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Exam Practice
Define
Q1. Define Tangents at Ends of a Diameter.
Explain
Q2. Explain: CORE UNDERSTANDING.
Example
Q3. Give one clear example of Tangents at Ends of a Diameter and say why it fits.
Mistake
Q4. State one common mistake students make about Tangents at Ends of a Diameter.
Exam note
Q5. Write a short exam note on Tangents at Ends of a Diameter: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.