Circle

NCERT Exercise 10.1

Question: 1 - How many tangents can a circle have?

Answer: Infinitely many

Since, the circumference of circle is composed of infintely many points, hence a circle can have infinitely many tangents.

Question: 2 - Fill in the blanks:

1. A tangent to a circle intersects it in ………………..points (s).
   
   Answer: One
2. A line intersecting a circle in two points is called a …………………
   
   Answer: Secant
3. A circle can have ………….parallel tangents at the most.
   
   Answer: Two
4. The common point of a tangent to a circle and the circle is called ………………..
   
   Answer: Point of contact

Question: 3 - 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 of PQ is:

1. 12 cm
2. 13 cm
3. 8.5 cm
4. √119 cm

Answer:(d) √119 cm

Question 4: 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.

Answer: