# CLASS 10 MATH NCERT SOLUTIONS FOR CHAPTER – 10 Circles Ex – 10.1

## Circles

Question 1.
How many tangents can a circle have?

Solution:
There can be infinitely many tangents to a circle.

Question 2.
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: 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 PQ is

(a) 12 cm
(b) 13 cm
(c) 8.5 cm
(d) 119−−−√ cm

Solution: Note: PQ = √119

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.

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