Circles
Gujarat Board · Class 10 · Mathematics
Flashcards for Circles — Gujarat Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
What is a circle?
Answer
A circle is a collection of all points in a plane which are at a constant distance (radius) from a fixed point (centre).
What are the three possible positions of a line with respect to a circle?
Answer
1. Non-intersecting line (no common points) 2. Secant (two common points) 3. Tangent (exactly one common point)
Define a tangent to a circle.
Answer
A tangent to a circle is a line that intersects the circle at exactly one point. This point is called the point of contact.
What is a secant of a circle?
Answer
A secant is a line that intersects a circle at exactly two points.
What is the point of contact?
Answer
The point of contact is the common point where a tangent touches the circle. At this point, the tangent and circle meet.
State Theorem 10.1 about tangents and radius.
Answer
The tangent at any point of a circle is perpendicular to the radius through the point of contact.
How many tangents can be drawn at any point on a circle?
Answer
At any point on a circle, there can be one and only one tangent.
What is the normal to a circle at a point?
Answer
The normal to a circle at a point is the line containing the radius through the point of contact. It is perpendicular to the tangent at that point.
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What are the important topics in Circles for Gujarat Board Class 10 Mathematics?
Circles covers several key topics that are frequently asked in Gujarat Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Circles — Gujarat Board Class 10 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
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There are 22 flashcards for Circles covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.
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