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)

View Answer

Answer: b

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.

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’

View Answer

Answer: c

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.

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) 1^{st}

b) 2^{nd}

c) 3^{rd}

d) 4^{th}

View Answer

Answer: b

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 2

OR

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 2

^{nd}quadrant.OR

**Short trick:**We can see that p(-3, 5) is of (-, +) form. We know that any point of (-, +) form lies in 2^{nd}quadrant.advertisement

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**Sanfoundry Global Education & Learning Series – Mathematics – Class 9**.

To practice all areas of Mathematics, __ here is complete set of 1000+ Multiple Choice Questions and Answers__.

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