Class 9 Exam > Class 9 Notes > Mathematics (Maths) Class 9 > HOTS Questions: Coordinate Geometry
Class 9 Maths Chapter 7 HOTS Questions - Coordinate Geometry
Question 1. From the following figure write:
(i) the points whose abscissa is 0.
(ii) the points whose ordinate is 0.
(iii) the points whose abscissa is –5
Ans: In an ordered pair (x, y), the first entry ‘x’ is the abscissa and the second entry ‘y’ is the ordinate of the point. Let us prepare the following table of ordered pairs of the given points. Also let us write their respective abscissa and ordinate.
From the table we get:
(i) Points with abscissa = 0 [that is x=0] are: A(0, 3), L(0, -4), and O (0,0).
(ii) Points with ordinate = 0 [that is y=0] are: G (5, 0), I(-2, 0), and O (0,0).
(iii) Points with abscissa = –5 [that is x= -5] are: D (-5, 1), H(-5, -3).
The document Class 9 Maths Chapter 7 HOTS Questions - Coordinate Geometry is a part of the Class 9 Course Mathematics (Maths) Class 9.
All you need of Class 9 at this link: Class 9
|
44 videos|412 docs|54 tests
|
FAQs on Class 9 Maths Chapter 7 HOTS Questions - Coordinate Geometry
| 1. What is the distance formula in coordinate geometry? |  |
Ans.The distance formula is used to determine the distance between two points in a Cartesian plane. The formula is given by:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.
| 2. How do you find the midpoint between two points in coordinate geometry? | |
Ans.The midpoint between two points \((x_1, y_1)\) and \((x_2, y_2)\) can be calculated using the midpoint formula:
\[ M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \]
This gives the coordinates of the point that is exactly halfway between the two points.
| 3. What is the slope of a line, and how is it calculated using coordinates? | |
Ans.The slope of a line is a measure of its steepness and is calculated using the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
where \((x_1, y_1)\) and \((x_2, y_2)\) are two distinct points on the line. A positive slope indicates the line rises, while a negative slope indicates it falls.
| 4. How can you determine if three points are collinear in coordinate geometry? | |
Ans.Three points \((x_1, y_1)\), \((x_2, y_2)\), and \((x_3, y_3)\) are collinear if the area of the triangle formed by them is zero. This can be verified using the determinant formula:
\[ \text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right| = 0 \]
If the area equals zero, the points are collinear.
| 5. What are the equations of lines in slope-intercept form and point-slope form? | |
Ans.The equation of a line can be represented in two common forms:
1. Slope-intercept form:
\[ y = mx + b \]
where \(m\) is the slope and \(b\) is the y-intercept.
2. Point-slope form:
\[ y - y_1 = m(x - x_1) \]
where \((x_1, y_1)\) is a point on the line and \(m\) is the slope.
Related Exams
About this Document
|
2.2K Views |
|
4.63/5 Rating |
|
Dec 18, 2024 Last updated |
Document Description: HOTS Questions: Coordinate Geometry for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation.
The notes and questions for HOTS Questions: Coordinate Geometry have been prepared according to the Class 9 exam syllabus. Information about HOTS Questions: Coordinate Geometry covers topics
like and HOTS Questions: Coordinate Geometry Example, for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for HOTS Questions: Coordinate Geometry.
Introduction of HOTS Questions: Coordinate Geometry in English is available as part of our Mathematics (Maths) Class 9
for Class 9 & HOTS Questions: Coordinate Geometry in Hindi for Mathematics (Maths) Class 9 course.
Download more important topics related with notes, lectures and mock test series for Class 9
Exam by signing up for free. Class 9: Class 9 Maths Chapter 7 HOTS Questions - Coordinate Geometry
Description
Full syllabus notes, lecture & questions for Class 9 Maths Chapter 7 HOTS Questions - Coordinate Geometry - Class 9 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 9 | Best notes, free PDF download
Information about HOTS Questions: Coordinate Geometry
In this doc you can find the meaning of HOTS Questions: Coordinate Geometry defined & explained in the simplest way possible. Besides explaining types of
HOTS Questions: Coordinate Geometry theory, EduRev gives you an ample number of questions to practice HOTS Questions: Coordinate Geometry tests, examples and also practice Class 9
tests
|
Explore Courses for Class 9 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Objective type Questions
,ppt
,Viva Questions
,Sample Paper
,shortcuts and tricks
,Free
,video lectures
,Summary
,Previous Year Questions with Solutions
,mock tests for examination
,study material
,Exam
,Class 9 Maths Chapter 7 HOTS Questions - Coordinate Geometry
,Extra Questions
,past year papers
,Class 9 Maths Chapter 7 HOTS Questions - Coordinate Geometry
,practice quizzes
,Important questions
,MCQs
,Class 9 Maths Chapter 7 HOTS Questions - Coordinate Geometry
,Semester Notes
;
Additional Information about HOTS Questions: Coordinate Geometry for Class 9 Preparation
HOTS Questions: Coordinate Geometry Free PDF Download
The HOTS Questions: Coordinate Geometry is an invaluable resource that delves deep into the core of the Class 9 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the HOTS Questions: Coordinate Geometry now and kickstart your journey towards success in the Class 9 exam.
Importance of HOTS Questions: Coordinate Geometry
The importance of HOTS Questions: Coordinate Geometry cannot be overstated, especially for Class 9 aspirants.
This document holds the key to success in the Class 9 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
HOTS Questions: Coordinate Geometry Notes
HOTS Questions: Coordinate Geometry Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to HOTS Questions: Coordinate Geometry.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, HOTS Questions: Coordinate Geometry Notes on EduRev are your ultimate resource for success.
HOTS Questions: Coordinate Geometry Class 9
The "HOTS Questions: Coordinate Geometry Class 9 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 9 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study HOTS Questions: Coordinate Geometry on the App
Students of Class 9 can study HOTS Questions: Coordinate Geometry alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the HOTS Questions: Coordinate Geometry,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of HOTS Questions: Coordinate Geometry is prepared as per the latest Class 9 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup