Question

13. Which of the following statements is FALSE ?
A. Points that lie in Quadrant I have all positive signs .
B. Points that lie in Quadrant III have all negative signs.
C. Points that lie in Quadrant II have negative and positive signs.
D. Points that lie in Quadrant IV have all positive signs.

Answer 1

Answer:

D) Points that lie in Quadrant IV have all positive signs.

Step-by-step explanation:

According to the cartesian plane,

1. In the first quadrant, both the x-axis and y-axis are positive.
2. In the second quadrant, the x-axis is negative ( it is on the left side) and the y-axis is positive.
3. In the third quadrant, both the x-axis and y-axis are negative, as the x-axis is on the left side and the y-axis is down.
4. In the fourth quadrant, the x-axis is positive and the y-axis is negative.

So, according to the cartesian plane (quadrants), the fourth quadrant should have x-axis as positive and y-axis as negative. Which is not given in the option.

Thus, it is option D.

You can find the attachment of the cartesian plane below!!!

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following statements is FALSE

A. Points that lie in Quadrant I have all positive signs

B. Points that lie in Quadrant III have all negative signs.

C. Points that lie in Quadrant II have negative and positive signs.

D. Points that lie in Quadrant IV have all positive signs.

EVALUATION

We know that in two dimensional geometry the Cartesian plane is divided by coordinate axis in 4 quadrant

1. Quadrant I : Both the x - coordinates and y - coordinates are positive

2. Quadrant II : The x - coordinate is negative and the y - coordinate is positive

3. Quadrant III : Both the x - coordinates and y - coordinates are negative

4. Quadrant IV : The x - coordinate is positive and the y - coordinate is negative

From above we observe that

Points that lie in Quadrant I have all positive signs

Points that lie in Quadrant III have all negative signs

Points that lie in Quadrant II have negative and positive signs.

Points that lie in Quadrant IV have positive and negative sign

FINAL ANSWER

Hence the correct option is

D. Points that lie in Quadrant IV have all positive signs.

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