Question 2
Fill in the blanks:
(i) A tangent to a circle intersects it in ____________ point(s).
(ii) A line intersecting a circle in two points is called a ____________.
(iii) A circle can have ____________ parallel tangents at the most.
(iv) The common point of a tangent to a circle and the circle is called ____________.
- Key definitions related to circles and tangents:
- Tangent: Touches circle at point.
- Secant: Intersects circle at points.
- Parallel Tangents: Maximum parallel tangents (at opposite ends of a diameter).
- Point of Contact: The shared point between tangent and circle.
(i) A tangent to a circle intersects it in ____________ point(s).
(i) one
(ii) A line intersecting a circle in two points is called a ____________.
(ii) secant
(iii) A circle can have ____________ parallel tangents at the most.
(iii) two
(iv) The common point of a tangent to a circle and the circle is called ____________.
(iv) point of contact
- Tangent vs. Secant: Tangent touches at point; secant cuts through at points.
- Parallel Limit: A circle has infinite total tangents, but only can be parallel to each other (at diameter ends).
More questions in Exercise 10.1
How many tangents can a circle have?
Fill in the blanks:
(i) A tangent to a circle intersects it in ____________ point(s).
(ii) A line intersecting a circle in two points is called a ____________.
(iii) A circle can have ____________ parallel tangents at the most.
(iv) The common point of a tangent to a circle and the circle is called ____________.
A tangent at a point of a circle of radius meets a line through the centre at a point so that . Length is :
(A) (B) (C) (D) .
Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.