# Mathematics Questions and Answers – Plotting a Point in the Plane if its Coordinates are Given

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Plotting a Point in the Plane if its Coordinates are Given”.

1. Which of the following is the correct way to represent the point p(2, -3) in the cartesian system?
a) b) c) d) Explanation: p(2, -3) means that the distance of the point from y – axis is 2 in positive direction and from x – axis is 3 in negative direction.
Therefore, point is located at distance 2 along OX axis and 3 along OY’ axis.
Considering this, option b is correct.

2. Point p(0, 4) lies along __________ axis.
a) OX
b) OX’
c) OY
d) OY’

Explanation: As shown in the diagram below, p(0, 4) means that its x-coordinate is 0 and y-coordinate is 4. Therefore the point’s distance from y-axis will be zero. i.e. it will lie on positive side of y – axis and its distance from x-axis will be 4.
Considering this, we can locate the point p(0, 4) as shown in diagram which lies on OY axis. 3. Point p(-3, 5) lies in __________ quadrant.
a) 1st
b) 2nd
c) 3rd
d) 4th

Explanation: As shown in the diagram below, p(-3, 5) means that its x-coordinate is -3 and y-coordinate is 5. Therefore point’s distance from y-axis will be 3 in negative direction (Along XX’ axis) and its distance from x-axis will be 5 in positive direction (along OY axis).
Considering this, we can locate the point p(-3, 5) as shown in diagram which lies in 2nd quadrant.
OR
Short trick: We can see that p(-3, 5) is of (-, +) form. We know that any point of (-, +) form lies in 2nd quadrant.  