NCERT Class 10 Maths Chapter 10 Circles Exercise 10.1

Chapter 10 Circles Exercise 10.1

Question 1: How many tangents can a circle have?
Answer:
There are infinitely many tangents that a circle can have.

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 secant.
(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 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) 119 cm
Answer:

Given:
Radius of the circle = 5 cm
OQ = 12 cm
∠ OPQ = 90° (as the tangent to a circle is perpendicular to the radius through the point of contact)

PQ² = OQ² - OP²        (by Pythagoras theorem)
= PQ² = (12)² - (5)²
= PQ = √(144 - 25)
= PQ = √199

Hence, the correct option is d) √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.
Answer:
Here in the above figure, AB is the given line. CD is the tangent to the given circle, which intersects the circle at Q, is parallel to AB. EF is a secant parallel to AB.

No comments:

Post a Comment

Also read!

Class 6 Solutions

• Class 7

Class 7 Computer Kips Solutions
Class 7 Gul Mohar English Solutions
English Grammar Class 7
English Writing Skills Class 7
Class 7 Map Pointing Solutions
Class 7 NCERT Civics Solutions
Class 7 NCERT Civics Notes
Class 7 NCERT Civics Extra Questions
Class 7 NCERT Geography Solutions
Class 7 NCERT Geography Notes
Class 7 NCERT Geography Extra Questions
Class 7 NCERT History Solutions
Class 7 NCERT History Notes
Class 7 NCERT History Extra Questions
Class 7 NCERT Maths Solutions
Class 7 NCERT Science Solutions
Class 7 NCERT Science Notes
Class 7 NCERT Science Extra Questions

• Class 8

Class 8 Kips Artificial Intelligence Solutions
Class 8 Gul Mohar English Solutions
English Grammar Class 8
English Writing Skills Class 8
Class 8 Map Pointing Solutions
Class 8 NCERT Civics Solutions
Class 8 NCERT Civics Notes
Class 8 NCERT Civics Extra Questions
Class 8 NCERT Geography Solutions
Class 8 NCERT Geography Notes
Class 8 NCERT Geography Extra Questions
Class 8 NCERT History Solutions
Class 8 NCERT History Notes
Class 8 NCERT History Extra Questions
Class 8 NCERT Maths Solutions
Class 8 NCERT Science Solutions
Class 8 NCERT Science Notes
Class 8 NCERT Science Extra Questions
Class 8 NCERT Science Exemplar
Class 8 NCERT Science MCQs

Class 9 Solutions

• Class 10

Class 10 Kips Artificial Intelligence Solutions
Class 10 NCERT English Solutions
→ Class 10 Map Pointing Solutions
Class 10 NCERT Civics Solutions
Class 10 NCERT Civics Notes
Class 10 NCERT Civics Extra Questions
Class 10 NCERT Geography Solutions
Class 10 NCERT Geography Notes
Class 10 NCERT Geography Extra Questions
Class 10 NCERT History Solutions
→ Class 10 NCERT History Notes
Class 10 NCERT History Extra Questions
Class 10 NCERT Maths Solutions
Class 10 NCERT Science Solutions
Class 10 NCERT Science Notes
Class 10 NCERT Science Extra Questions

• Computer languages
Python Basics

• Extra Activities
Extra Activities

• Extra Knowledge
Extra Information
General Knowledge
Historical Places in India
Latest technology
Physical Sciences
Facts

• Mathematics quick links
Mathematical Terms
Maths Tricks

CONTACT US