Class 9 Maths: Coordinate Geometry – Extra Questions with Answers
Q. 1 In which quadrant or on which axis does the point (-3, 0) lie?
Check Solution
Ans: C
Solution: The point (-3, 0) has an x-coordinate of -3 and a y-coordinate of 0. Points with a y-coordinate of 0 lie on the x-axis.
Answer: x-axis
Q. 2 What is the name of the point represented by the ordered pair (0, 0) on the Cartesian coordinate plane?
Check Solution
Ans: D
Solution: The point (0, 0) is the origin.
Answer: Origin
Q. 3 In which quadrant or on which axis do each of the points $(5, -2)$, $(-3, 1)$, $(0, 4)$, $(-2, -3)$ and $(2, 0)$ lie?
Check Solution
Ans: B
Solution:
* $(5, -2)$: Quadrant IV
* $(-3, 1)$: Quadrant II
* $(0, 4)$: y-axis
* $(-2, -3)$: Quadrant III
* $(2, 0)$: x-axis
Answer: Quadrant IV, Quadrant II, y-axis, Quadrant III, x-axis
Q. 4 If $x > 0$ and $y < 0$, then the point $(x, y)$ lies in which quadrant?
Check Solution
Ans: C
Solution:
Answer: IV
Q. 5 The point which lies on the X-axis at a distance of 3 units in the positive direction of the X-axis is
Check Solution
Ans: D
Solution:
The point on the X-axis is (x, 0).
Distance from origin is 3, positive direction, so x = 3.
Answer: (3, 0)
Q. 6 A rectangular study table is 1 meter long and 0.75 meters wide. A table lamp is placed on the table. The lamp’s base is 0.25 meters from the longer side of the table and 0.3 meters from the shorter side. What are the coordinates of the center of the lamp’s base, assuming the origin (0,0) is at one corner of the table, the x-axis runs along the longer side, and the y-axis runs along the shorter side?
Check Solution
Ans: D
Solution:
The longer side is 1 meter, and the lamp is 0.25 meters from it, so the x-coordinate is 1 – 0.25 = 0.75 meters. The shorter side is 0.75 meters, and the lamp is 0.3 meters from it, so the y-coordinate is 0.75 – 0.3 = 0.45 meters.
Answer: (0.75, 0.45)
Q. 7 If $P(4, -1)$ and $Q(1, 2)$ are two given points, then (abscissa of P) + (abscissa of Q) = ?
Check Solution
Ans: B
Solution:
Abscissa of P = 4, Abscissa of Q = 1
(Abscissa of P) + (Abscissa of Q) = 4 + 1 = 5
Answer: 5
Q. 8 The points $(-4, 2)$ and $(2, -4)$ lie on a line. What is the slope of the line?
Check Solution
Ans: D
Solution:
slope = (y2 – y1) / (x2 – x1) = (-4 – 2) / (2 – (-4)) = -6 / 6 = -1
Answer: -1
Q. 9 Which of the following points lies on the line $y = 3x – 1$?
Check Solution
Ans: B
Solution:
Substitute the x and y values of each point into the equation $y = 3x – 1$ and see which one satisfies the equation.
Answer: (2, 5)
Q. 10 The line segment connecting the points (-5, 2) and (2, -5) intersects the line y = x at what point?
Check Solution
Ans: A
Solution:
1. Find the equation of the line passing through (-5, 2) and (2, -5).
The slope is (2 – (-5))/(-5 – 2) = 7/-7 = -1.
Using point-slope form: y – 2 = -1(x – (-5)) => y – 2 = -x – 5 => y = -x – 3.
2. Find the intersection of y = -x – 3 and y = x.
Substitute y = x into y = -x – 3: x = -x – 3 => 2x = -3 => x = -3/2.
3. Since y = x, y = -3/2.
Therefore the intersection point is (-3/2, -3/2).
Answer: (-3/2, -3/2)
Next Topic: Linear Equations in Two Variables
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