Coordinate Geometry Class 9 Assertion Reason Questions Maths Chapter 3

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Last Updated on November 12, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 9 maths. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 9 maths. In this article, you will find assertion reason questions for CBSE Class 9 Maths Chapter 3 Coordinate Geometry. It is a part of Assertion Reason Questions for CBSE Class 9 Maths Series.

ChapterCoordinate Geometry
Type of QuestionsAssertion Reason Questions
Nature of QuestionsCompetency Based Questions
BoardCBSE
Class9
SubjectMaths
Useful forClass 9 Studying Students
Answers providedYes
Difficulty levelMentioned
Important LinkClass 9 Maths Chapterwise Assertion Reason

Assertion Reason Questions on Coordinate Geometry

Questions:

Q. 1. Assertion (A): The ordinate of a point (3, 7) is 7.
Reason (R): The perpendicular distance of a point from X-axis is said to be an ordinate.

Q. 2. Assertion (A): The point (-3, 0) lies on Y-axis and (0, 4) lies on X-axis.
Reason (R): Every point on the X-axis has zero distance from X-axis and every point on the Y-axis has zero distance from Y-axis.

Q. 3. Assertion (A): A point whose abscissa is 3 and ordinate is – 4 lies in IV quadrant.
Reason (R): A point whose sign is the form of (-, +) lies in the IInd quadrant.

Solutions:

1. (a) Assertion (A): It is true to say that the ordinate of a point (3, 7) is 7, which is perpendicular distance from point to the X-axis.
Reason (R): It is also true to say that the perpendicular distance of a point from X-axis is said to be an ordinate.
Hence, both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

2. (d) Assertion (A): Point (-3, 0) has y-coordinate zero, so it lies on X-axis. And point (0, 4) has x-coordinate zero so it lies on Y-axis.
Thus, Assertion (A) is false.
Reason (R): It is true to say that every point on the X-axis has zero distance from X-axis and every point on the Y-axis has zero distance from Y-axis.

3. (b) Assertion (A): It is true to say that point (3, – 4) lies in IV quadrant.
Reason (R): It is also true to say that point having sign of the form (-, +) lies in the II quadrant.
Hence, both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

Also check

Topics from which assertion reason questions may be asked

  • The Cartesian plane
  • Coordinates of a point
  • Names and terms associated with the coordinate plane
  • Notations.

In stating the coordinates of a point in cartesian plane, the x-coordinate comes first and then the y-coordinate, We place the coordinates in brackets, i.e., (x, y)

Assertion reason questions from the above given topic may be asked.

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Frequently Asked Questions (FAQs) on Coordinate Geometry Assertion Reason Questions Class 9

Q1: What are assertion reason questions?

A1: Assertion-reason questions consist of two statements: an assertion (A) and a reason (R). The task is to determine the correctness of both statements and the relationship between them. The options usually include:
(i) Both A and R are true, and R is the correct explanation of A.
(ii) Both A and R are true, but R is not the correct explanation of A.
(iii) A is true, but R is false.
(iv) A is false, but R is true. or A is false, and R is also false.

Q2: Why are assertion reason questions important in Maths?

A2: Students need to evaluate the logical relationship between the assertion and the reason. This practice strengthens their logical reasoning skills, which are essential in mathematics and other areas of study.

Q3: How can practicing assertion reason questions help students?

A3: Practicing assertion-reason questions can help students in several ways:
Improved Conceptual Understanding: It helps students to better understand the concepts by linking assertions with their reasons.
Enhanced Analytical Skills: It enhances analytical skills as students need to critically analyze the statements and their relationships.
Better Exam Preparation: These questions are asked in exams and practicing them can improve your performance.

Q4: What strategies should students use to answer assertion reason questions effectively?

A4: Students can use the following strategies:
Understand Each Statement Separately: Determine if each statement is true or false independently.
Analyze the Relationship: If both statements are true, check if the reason correctly explains the assertion.

Q5: What are common mistakes to avoid when answering Assertion Reason questions?

A5: Common mistakes include:
Not reading the statements carefully and missing key details.
Assuming the Reason explains the Assertion without checking the logical connection.
Confusing the order or relationship between the statements.
Overthinking and adding information not provided in the question.

Q6: What is the significance of the origin in Coordinate Geometry?

A6: The origin (0, 0) is the central point where the x-axis and y-axis intersect. It serves as the reference point for locating all other points on the plane.

Q7: What is the Cartesian coordinate system?

A7: The Cartesian coordinate system is a two-dimensional plane defined by two perpendicular axes: the x-axis (horizontal) and the y-axis (vertical). The point where they intersect is called the origin, and each point on the plane is represented by a pair of coordinates (x, y).

Q8: How do you plot a point on the coordinate plane?

A8: To plot a point, first move along the x-axis to the x-coordinate, then move parallel to the y-axis to the y-coordinate. Mark the intersection of these positions on the plane.

Q9: How do you determine the quadrant of a point?

A9: The coordinate plane is divided into four quadrants:
Quadrant I: Both x and y are positive.
Quadrant II: x is negative, y is positive.
Quadrant III: Both x and y are negative.
Quadrant IV: x is positive, y is negative.

Q10: Are there any online resources or tools available for practicing coordinate geometry assertion reason questions?

A10: We provide assertion reason questions for CBSE Class 9 Maths on our website. Students can visit the website and practice sufficient assertion reason questions and prepare for their exams. If you need more assertion reason questions, then you can visit Physics Gurukul website. they are having a large collection of assertion reason questions for all classes.

Coordinate Geometry Class 9 Assertion Reason Questions Maths Chapter 3

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