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 _____.
Solution:
(i) A tangent to a circle is a line that intersects the circle at only one point.
Answer: One
(ii) A line intersecting a circle in two points is called a secant.
Answer: Secant
(iii) A circle can have two parallel tangents at the most.
A tangent at any point of a circle is perpendicular to the radius through the point of contact. An extended radius is a diameter that has two endpoints and hence only two tangents are parallel to themselves and perpendicular to the diameter.
Answer: Two
(iv) The common point of a tangent to a circle and the circle is called point of contact.
A tangent to a circle is a line that intersects the circle at only one point and that point is called a point of contact.
Answer: Point of contact
☛ Check: NCERT Solutions Class 10 Maths Chapter 10
Video Solution:
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 _____.
Maths NCERT Solutions Class 10 Chapter 10 Exercise 10.1 Question 2
Summary:
(i) A tangent to a circle intersects it in One point, (ii) A line intersecting a circle in two points is called a Secant, (iii) A circle can have Two parallel tangents at the most, and (iv) The common point of a tangent to a circle and the circle is called Point of contact.
☛ Related Questions:
- How many tangents can a circle have?
- A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is: (A) 12 cm (B) 13 cm (C) 8.5 cm (D) √119 cm
- 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.