Andhra Pradesh Board Class 10th Maths Chapter 7 Coordinate Geometry Optional Exercise Textbooks Solutions PDF
Andhra Pradesh State Board STD 10th Maths Chapter 7 Coordinate Geometry Optional Exercise 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 7 Coordinate Geometry Optional Exercise Books Answers Solutions, then you are in the right place. Here is a complete hub of Andhra Pradesh State Board Class 10th Maths Chapter 7 Coordinate Geometry Optional Exercise 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 7 Coordinate Geometry Optional Exercise Textbooks. These Andhra Pradesh State Board Class 10th Maths Chapter 7 Coordinate Geometry Optional Exercise 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 7 Coordinate Geometry Optional Exercise Books Solutions
Board | AP Board |
Materials | Textbook Solutions/Guide |
Format | DOC/PDF |
Class | 10th |
Subject | Maths |
Chapters | Maths Chapter 7 Coordinate Geometry Optional Exercise |
Provider | Hsslive |
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AP Board Class 10th Maths Chapter 7 Coordinate Geometry Optional Exercise Textbooks Solutions with Answer PDF Download
Find below the list of all AP Board Class 10th Maths Chapter 7 Coordinate Geometry Optional Exercise Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:10th Class Maths 7th Lesson Coordinate Geometry Optional Exercise Textbook Questions and Answers
Question 1.
Centre of the circle Q is on the Y-axis. And the circle passes through the points (0, 7) and (0, -1). Circle intersects the positive X-axis at (p, 0). What is the value of ‘p’ ?
Answer:
Given points A, B are on y – axis.
(∵ their x – coordinate is zero) then they will be the end points (0, 7) and (0, -1).
Centre (Q) = (0+02,7−12) = (0, 3)
then radius = AQ = BQ
= (0−0)2+(3−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
= 02+42‾‾‾‾‾‾‾√ = √16 = 4
now P(p, 0) is also another point on circle then QP⎯⎯⎯⎯⎯⎯⎯⎯ is also radius
∴ QP⎯⎯⎯⎯⎯⎯⎯⎯ = (0−𝑝)2+(3−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√ = 4
⇒ 𝑝2+32‾‾‾‾‾‾‾√ = 4
⇒ p2 = 42 – 32 = 16 – 9 = 7
∴ P = ± √7 .
Question 2.
A triangle ABC is formed by the points A(2, 3), B(-2, -3), C(4, -3). What is the point of intersection of side BC and angular bisector of angle A?
Answer:
Given: △ABC, where A (2, 3), B (- 2, – 3), C (4, – 3).
Let AD be the bisector to ∠A meeting BC at D.
Then BD : DC = AB : AC
[∵ The bisector of vertical angle of triangle divides the base in the ratio of other two sides.]
Now D is a point which divides BC⎯⎯⎯⎯⎯⎯⎯⎯ in the ratio √l3 : √10 internally section formula (x, y) =
(By rationalising the denominator of the x-coordinate).
Question 3.
The side BC of an equilateral △ABC is parallel to X – axis. Find the slopes of line along sides BC, CA and AB.
Answer:
Given: △ABC; BC // X – axis.
Slope of BC = tan θ
where θ is the angle made of BC with + ve X – axis.
= tan ‘0’ = ‘0’
Slope of AB = tan 60° = √3
[∵ Each angle of an equilateral triangle is 60°]
Slope of AC = tan 60° = √3
Question 4.
A right triangle has sides ‘a’ and ‘b’ where a > b. If the right angle is bisected then find the distance between ortho centres of the smaller triangles using coordinate geometry.
Answer:
Given : △ABC; ∠B = 90°
Question 5.
Find the centroid of the triangle formed by the line 2x + 3y – 6 = 0 with the coordinate axes.
Answer:
Given : △AOB formed by the line 2x + 3y – 6 = 0 with axes.
Let A lie on X – axis and B on Y – axis.
∴ Y – coordinate of A = 0
X – coordinate of B = 0
∴ A (3, 0), B (0, 2)
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