Assertion and Reason Questions for Class 9 Maths Chapter 3 Coordinate Geometry
Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(C) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
Q.1. Assertion: Point A(-2, -4) lies on III quadrant
Reason: A point both of whose coordinates are negative lies in III quadrant
Answer
Answer: (a)Q.2. Assertion: The abscissa of a point (5, 2) is 5.
Reason: The perpendicular distance of a point from y-axis is called its abscissa.
Answer
Answer: (a)Q.3. Assertion: The point (0,4) lies on y-axis.
Reason: The x co-ordinate of the point on y-axis is zero.
Answer
Answer: (a)Q.4. Assertion: Point (4, -2) lies in IV quadrant.
Reason: The perpendicular distance of a point from y-axis is called its abscissa.
Answer
Answer: (b)Q.5. Assertion : The points (-1, 2) and (2,- 1) are at different positions in the coordinate plane.
Reason: Point (-1,2) lies in Il-quadrant and (2,- 1) lies in IV quadrant
Answer
Answer: (a)Q.6. Assertion : If the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the second quadrant.
Reason : A point both of whose coordinates are negative will lie in third quadrants
Answer
Answer: (d)Q.7. Assertion: A point whose abscissa is -3 and ordinate is 2 lies in second quadrant
Reason: Points of the type (-; +) lie in the second quadrant
Answer
Answer: (a)Q.8. Assertion: The perpendicular distance of the point A(3, 4) from the y-axis is 4
Reason: The perpendicular distance of a point from y-axis is called its x-coordinate.
Answer
Answer: (d)Q.9. Assertion : The point (-2, 0) lies on y-axis and (0, 4) on x -axis.
Reason: 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.
Answer
Answer: (d)Q.10. Assertion: A point whose abscissa is 2 and ordinate is -3 lies in fourth quadrant
Reason: Points of the type (-; +) lie in the second quadrant
Answer
Answer: (b)Frequently Asked Questions (FAQs)
This plane is defined by two perpendicular number lines, A horizontal line called x−axis and a vertical line called y−axis.
The cartesian plane is divided into four equal parts, called quadrants. These are named in the order as I, II, III and IV starting with the upper right and going around in anticlockwise direction.
The coordinate axes intersect each other at right angles, The point of intersection of these two axes is called Origin.
‘+’ x – coordinate and ‘+’ y – coordinate. E.g. (6, 2)
‘-’ x – coordinate and ‘+’ y – coordinate. E.g. (-2, 6)
‘-’ x – coordinate and ‘-’ y – coordinate. E.g. (-5, -9)
‘+’ x – coordinate and ‘-’ y – coordinate. E.g. (12, -2)
