AP Board Class 10 Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbook Solutions PDF: Download Andhra Pradesh Board STD 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Book Answers ~ HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

Thursday, June 9, 2022

AP Board Class 10 Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbook Solutions PDF: Download Andhra Pradesh Board STD 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Book Answers

AP Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbooks Solutions and answers for students are now available in pdf format. Andhra Pradesh Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Book answers and solutions are one of the most important study materials for any student. The Andhra Pradesh State Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 books are published by the Andhra Pradesh Board Publishers. These Andhra Pradesh Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 textbooks are prepared by a group of expert faculty members. Students can download these AP Board STD 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 book solutions pdf online from this page.

Andhra Pradesh Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbooks Solutions PDF

Andhra Pradesh State Board STD 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Books Solutions with Answers are prepared and published by the Andhra Pradesh Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of AP Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Books Answers Solutions, then you are in the right place. Here is a complete hub of Andhra Pradesh State Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Andhra Pradesh Board STD 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbooks. These Andhra Pradesh State Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Andhra Pradesh Board.

Andhra Pradesh State Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Books Solutions

Board	AP Board
Materials	Textbook Solutions/Guide
Format	DOC/PDF
Class	10th
Subject	Maths
Chapters	Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1
Provider	Hsslive

How to download Andhra Pradesh Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbook Solutions Answers PDF Online?

Visit our website - Hsslive
Click on the Andhra Pradesh Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Answers.
Look for your Andhra Pradesh Board STD 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbooks PDF.
Now download or read the Andhra Pradesh Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbook Solutions for PDF Free.

AP Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

10th Class Maths 9th Lesson Tangents and Secants to a Circle Ex 9.1 Textbook Questions and Answers

Question 1.
Fill in the blanks.
i) A tangent to a circle intersects it in ——— point(s). (one)
ii) A line intersecting a circle in two points is called a ———. (secant)
iii) The number of tangents drawn at the end of the diameter is ———. (two)
iv) The common point of a tangent to a circle and the circle is called ———. (point of contact)
v) We can draw ——— tangents to a given circle. (infinite)

Question 2.
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. Find length of PQ.
Answer:
Given: A circle with centre O and radius OP = 5 cm
PQ⎯⎯⎯⎯⎯⎯⎯⎯ is a tangent and OQ = 12 cm
We know that ∠OPQ = 90°
Hence in △OPQ
OQ² = OP² + PQ²
[∵ hypotenuse² = Adj. side² + Opp. side²]
12² = 5² + PQ²
∴ PQ² = 144 – 25 .
PQ² = 119
PQ = √119

Question 3.
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:
Steps:

Draw a circle with some radius.
Draw a chord of the circle.
Draw a line parallel to the chord intersecting the circle at two distinct points.
This is secant of the circle (l).
Draw another line parallel to the chord, just touching the circle at one point (M). This is a tangent of the circle.

Question 4.
Calculate the length of tangent from a point 15 cm. away from the centre of a circle of radius 9 cm.
Answer:
Given: A circle with radius OP = 9 cm
A tangent PQ from a point Q at a distance of 15 cm from the centre, i.e., OQ =15 cm
Now in △POQ, ∠P = 90°
OP² + PQ² – OQ²
9² + PQ² = 15²
PQ² = 15² – 9²
PQ² = 144
∴ PQ = √144 = 12 cm.
Hence the length of the tangent =12 cm.

Question 5.
Prove that the tangents to a circle at the end points of a diameter are parallel.
Answer:
A circle with a diameter AB.
PQ is a tangent drawn at A and RS is a tangent drawn at B.
R.T.P: PQ || RS.
Proof: Let ‘O’ be the centre of the circle then OA is radius and PQ is a tangent.
∴ OA ⊥ PQ ……….(1)
[∵ a tangent drawn at the end point of the radius is perpendicular to the radius]
Similarly, OB ⊥ RS ……….(2)
[∵ a tangent drawn at the end point of the radius is perpendicular to the radius]
But, OA and OB are the parts of AB.
i.e., AB ⊥ PQ and AB ⊥ RS.
∴ PQ || RS.
O is the centre, PQ is a tangent drawn at A.
∠OAQ = 90°
Similarly, ∠OBS = 90°
∠OAQ + ∠OBS = 90° + 90° = 180°
∴ PQ || RS.
[∵ Sum of the consecutive interior angles is 180°, hence lines are parallel]

AP Board Textbook Solutions PDF for Class 10th Maths

AP Board Class 10 Maths Chapter 1 Real Numbers Textbook Solutions PDF

AP Board Class 10 Maths Chapter 2 Sets Textbook Solutions PDF

AP Board Class 10 Maths Chapter 3 Polynomials Textbook Solutions PDF

AP Board Class 10 Maths Chapter 4 Pair of Linear Equations in Two Variables Textbook Solutions PDF

AP Board Class 10 Maths Chapter 5 Quadratic Equations Textbook Solutions PDF

AP Board Class 10 Maths Chapter 6 Progressions Textbook Solutions PDF

AP Board Class 10 Maths Chapter 7 Coordinate Geometry Textbook Solutions PDF

AP Board Class 10 Maths Chapter 8 Similar Triangles Textbook Solutions PDF

AP Board Class 10 Maths Chapter 9 Tangents and Secants to a Circle Textbook Solutions PDF

AP Board Class 10 Maths Chapter 10 Mensuration Textbook Solutions PDF

AP Board Class 10 Maths Chapter 11 Trigonometry Textbook Solutions PDF

AP Board Class 10 Maths Chapter 12 Applications of Trigonometry Textbook Solutions PDF

AP Board Class 10 Maths Chapter 13 Probability Textbook Solutions PDF

AP Board Class 10 Maths Chapter 14 Statistics Textbook Solutions PDF

Andhra Pradesh Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbooks for Exam Preparations

Andhra Pradesh Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 exam preparation. The AP Board STD 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Books State Board syllabus with maximum efficiency.

FAQs Regarding Andhra Pradesh Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbook Solutions

How to get AP Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbook Answers??

Students can download the Andhra Pradesh Board Class 10 Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Answers PDF from the links provided above.

Can we get a Andhra Pradesh State Board Book PDF for all Classes?

Yes you can get Andhra Pradesh Board Text Book PDF for all classes using the links provided in the above article.

Important Terms

Andhra Pradesh Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1, AP Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbooks, Andhra Pradesh State Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1, Andhra Pradesh State Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbook solutions, AP Board Class 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbooks Solutions, Andhra Pradesh Board STD 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1, AP Board STD 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbooks, Andhra Pradesh State Board STD 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1, Andhra Pradesh State Board STD 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbook solutions, AP Board STD 10th Maths Chapter 9 Tangents and Secants to a Circle Ex 9.1 Textbooks Solutions,

HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

Hsslive.co.in: Kerala Higher Secondary News, Plus Two Notes, Plus One Notes, Plus two study material, Higher Secondary Question Paper.

Thursday, June 9, 2022