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NCERT Solutions For Class 10 Maths Chapter 10 Circles Ex 10.1

Here, Below you all know about NCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1 Question Answer. I know many of you confuse about finding Chapter 10 Circles Ex 10.1 Of Class 10 NCERT Solutions. So, Read the full post below and get your solutions.

TextbookNCERT
BoardCBSE
CategoryNCERT Solutions
ClassClass 10
SubjectMaths
ChapterChapter 10
ExerciseClass 10 Maths Chapter 10 Circles Exercise 10.1
Number of Questions Solved4
NCERT Solutions For Class 10 Maths Chapter 10 Circles Ex 10.1

NCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1

NCERT TEXTBOOK EXERCISES

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:

(i) One
(ii) Secant
(iii) Two
(iv) 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 PQ is

(a) 12 cm
(b) 13 cm
(c) 8.5 cm
(d) √199 cm

Solution:

Radius of the circle = 5 cm
OQ = 12 cm
∠OPQ = 90°
[The tangent to a circle is perpendicular to the radius through the point of contact]
PQ2 = OQ2 – OP2 [By Pythagoras theorem]
PQ2 = 122 – 52 = 144 – 25 = 199
PQ = √199 cm.
Hence correct option is (d).

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:

A line m is parallel to the line n and a line l which is secant is parallel to the given line.

NCERT Solutions for Class 10 Maths Chapter 10 Circles Exercise 10.1 PDF

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