# NCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1

Get Free **NCERT Solutions for Class 10 Maths Chapter 10** Ex 10.1 PDF. Circles Class 10 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 10.1 Class 10 Maths NCERT Solutions were prepared by Experienced ncert-books.inTeachers. Detailed answers of all the questions in Chapter 10 **Maths Class 10 Circles Exercise 10.1** provided in NCERT TextBook.

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:

You can also download the free **PDF of Ex 10.1 Class 10 Circles NCERT Solutions** or save the solution images and take the print out to keep it handy for your exam preparation.

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)

Solution:

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.

Solution: