Circles
Uttar Pradesh Board · Class 10 · Mathematics
Flashcards for Circles — Uttar Pradesh Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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See them allWhat 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 with the circle 2. Secant: Two common points with the circle 3. Tangent: Exactly one common point with the circle…
What is a tangent to a circle?
Answer
A tangent to a circle is a line that intersects the circle at only 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. The tangent is said to touch the circle at this point.
State Theorem 10.1 about tangent 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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