**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

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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.

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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.

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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.

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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

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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

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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

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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.

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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.

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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

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Answer: (b)**Frequently Asked Questions (FAQs)**

**What is cartesian plane?**

This plane is defined by two perpendicular number lines, A horizontal line called x−axis and a vertical line called y−axis.

**What is a quadrant?**

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.

**What is Origin?**

The coordinate axes intersect each other at right angles, ** The point of intersection** of these two axes is called Origin.

**What are the signs of coordinates of points in 1st quadrant?**

‘+’ x – coordinate and ‘+’ y – coordinate. E.g. (6, 2)

**What are the signs of coordinates of points in 2nd quadrant?**

‘-’ x – coordinate and ‘+’ y – coordinate. E.g. (-2, 6)

**What are the signs of coordinates of points in 3rd quadrant?**

‘-’ x – coordinate and ‘-’ y – coordinate. E.g. (-5, -9)

**What are the signs of coordinates of points in 4th quadrant?**

‘+’ x – coordinate and ‘-’ y – coordinate. E.g. (12, -2)