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Ch-3: Coordinate Geometry
10 Questions
Before You Practice Try each question on your own first. Use the Show Answer button only after you have selected your option, then read the explanation and revise the related concept from your chapter notes.
1. The point of intersection of the horizontal axis (x-axis) and vertical axis (y-axis) in a Cartesian plane is called:
A. Abscissa
B. Ordinate
C. Origin
D. Quadrant
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Answer: C. Origin
Explanation: The point where the x-axis and y-axis intersect perpendicular to each other is called the origin, denoted by O(0, 0).
2. The x-coordinate of a point is also known as its:
A. Ordinate
B. Abscissa
C. Origin
D. Quadrant
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Answer: B. Abscissa
Explanation: In an ordered pair (x, y), the x-coordinate is called the abscissa and the y-coordinate is called the ordinate.
3. In which quadrant does the point (-3, 5) lie?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
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Answer: B. Quadrant II
Explanation: Points in Quadrant II have a negative x-coordinate and a positive y-coordinate (- , +).
4. The sign of points lying in Quadrant IV is of the form:
A. (+ , +)
B. (- , +)
C. (- , -)
D. (+ , -)
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Answer: D. (+ , -)
Explanation: Quadrant IV lies to the right of the y-axis (x is positive) and below the x-axis (y is negative).
5. Any point lying on the x-axis has coordinates of the form:
A. (0, y)
B. (x, 0)
C. (x, y)
D. (0, 0)
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Answer: B. (x, 0)
Explanation: The perpendicular distance of any point on the x-axis from the x-axis itself is zero, so its ordinate (y) is always 0.
6. What is the perpendicular distance of the point P(4, 3) from the x-axis?
A. 4 units
B. 3 units
C. 7 units
D. 5 units
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Answer: B. 3 units
Explanation: The perpendicular distance of a point from the x-axis is given by the absolute value of its y-coordinate (ordinate), which is 3.
7. The point (0, -7) lies:
A. On the positive x-axis
B. In Quadrant III
C. On the negative y-axis
D. In Quadrant IV
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Answer: C. On the negative y-axis
Explanation: Since the x-coordinate is 0 and the y-coordinate is negative (-7), the point lies directly on the negative y-axis.
8. If the abscissa of a point is positive and its ordinate is negative, the point lies in:
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
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Answer: D. Quadrant IV
Explanation: Abscissa (x) > 0 and Ordinate (y) < 0 corresponds to signs (+, -), which belongs to Quadrant IV.
9. Coordinates of the origin are:
A. (0, 1)
B. (1, 0)
C. (0, 0)
D. (1, 1)
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Answer: C. (0, 0)
Explanation: At the origin, both the x-coordinate and y-coordinate are zero, represented as (0, 0).
10. The Cartesian plane is divided into how many quadrants by the axes?
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Answer: C. 4
Explanation: The two perpendicular coordinate axes divide the Cartesian plane into four equal regions called quadrants (I, II, III, and IV).
