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

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Circle Theorem

Exercise 10.2 - Part 1

Exercise 10.2 - Part 2

Exercise 10.2 - Part 3

Exercise 10.2 - Part 4

Exercise 10.2 - Part 5

Exercise 10.2 - Part 6