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