Class 10 Mathematics

Circle

Exercise 10.1 (NCERT)

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:

• A tangent to a circle intersects it in ………………..points (s).
  
  Answer: One
• A line intersecting a circle in two points is called a …………………
  
  Answer: Secant
• A circle can have ………….parallel tangents at the most.
  
  Answer: Two
• 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:

• 12 cm
• 13 cm
• 8.5 cm
• √119 cm

Answer:(d) √119 cm