Tangent to a circle
A tangent to a circle is a line that touches the circle at exactly one point.
Practice This ConceptMain explanation
Teacher explanation
A tangent does not cut the circle at two points like a secant. It just touches the circle at one point, called the point of contact. In exam questions, the first job is to identify whether the line is only touching or actually passing through the circle.
Example
If a line touches a circle at point A and no other point, then that line is a tangent at A.
Simple analogy
Tangent means touch once.
Common confusion
Students often call any line near a circle a tangent, even when it does not touch the circle at exactly one point.
Exam tip
Always count the contact points first. One touching point means tangent; two intersection points mean secant.
Study the tangent to a circle diagram carefully
Use the labelled diagram to keep tangent to a circle clear in short answers and revision.
What this diagram makes clear
This diagram keeps the labels and direction of tangent to a circle in the right order.
Where this helps in exams
Use this for labelled diagram work and short exam answers on tangent to a circle.
Revision cue
Revise tangent to a circle through the labels before writing the answer.
Answer writing and exam use
1-mark use
Write the exact meaning of tangent to a circle in one clean line.
2-mark use
Define tangent to a circle and add one example or condition.
3-mark use
Explain tangent to a circle, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
Open the concept quiz intro first, review the test details, and then start a focused MCQ set from this concept only. Instant score and answer review are live now.
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