1. What is the abscissa (x-coordinate) of the point (−7, 4)?
- A−7
- B4
- C7
- D−4
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Answer: A) −7
Abscissa = first coordinate = x = −7.
Class 9 Coordinate Geometry — practice questions with answers
Coordinate Geometry · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. The x-coordinate of every point on the y-axis is:
- A-1
- B0
- C2
- D1
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Answer: B) 0
Every point on the y-axis has the form (0, b), so its x-coordinate is 0.
3. Assertion (A): Every point on the x-axis has its ordinate equal to 0. Reason (R): On the x-axis, the point is at zero vertical distance from the x-axis itself. Which is correct?
- ABoth A and R are true and R correctly explains A
- BBoth A and R are true but R does not explain A
- CA is true but R is false
- DA is false but R is true
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Answer: A) Both A and R are true and R correctly explains A
Points on the x-axis have y = 0 (A is true). The ordinate measures vertical distance from the x-axis, which is zero there (R is true and explains A).
4. In a seating chart the column number is measured along the x-axis and the row number along the y-axis. Meera sits in column 5, row 2. Which ordered pair names her seat?
- A(2, 5)
- B(2, 2)
- C(5, 2)
- D(5, 5)
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Answer: C) (5, 2)
The abscissa is written first, and here the abscissa is the column number. Column 5 and row 2 give the ordered pair (5, 2).
5. Why do (−6, 2) and (2, −6) lie in different quadrants, even though they are built from the same two numbers?
- ABecause −6 is smaller than 2, so the points must fall in different halves of the plane.
- BBecause (−6, 2) has a negative abscissa with a positive ordinate, which is quadrant II, while (2, −6) has a positive abscissa with a negative ordinate, which is quadrant IV.
- CBecause the point built from the larger numbers always lies in a lower quadrant.
- DThey actually lie in the same quadrant, since the coordinates are the same two numbers.
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Answer: B) Because (−6, 2) has a negative abscissa with a positive ordinate, which is quadrant II, while (2, −6) has a positive abscissa with a negative ordinate, which is quadrant IV.
The order of an ordered pair decides which number is the abscissa and which is the ordinate, and therefore which coordinate carries the minus sign. (−, +) is quadrant II and (+, −) is quadrant IV.
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