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If the abscissa of a point is negative. The point will lie in
- a)I or III quadrant
- b)II or III quadrant
- c)I or IV quadrant
- d)In III or IV quadrant.
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If the abscissa of a point is negative. The point will lie ina)I or II...
Understanding Quadrants in the Cartesian Plane
In the Cartesian coordinate system, the plane is divided into four quadrants:
- Quadrant I (QI): Both x (abscissa) and y (ordinate) are positive.
- Quadrant II (QII): The x (abscissa) is negative and y (ordinate) is positive.
- Quadrant III (QIII): Both x (abscissa) and y (ordinate) are negative.
- Quadrant IV (QIV): The x (abscissa) is positive and y (ordinate) is negative.
Negative Abscissa Implications
When a point has a negative abscissa (x-coordinate), it means the point lies to the left of the y-axis. This situation can only occur in:
- Quadrant II (QII): Here, x is negative, and y is positive.
- Quadrant III (QIII): Here, x is negative, and y is also negative.
Conclusion
Thus, if the abscissa of a point is negative, it will lie in either:
- Quadrant II (QII): Negative x, Positive y
- Quadrant III (QIII): Negative x, Negative y
Therefore, the correct answer is option 'B' (II or III quadrant), as both quadrants accommodate a negative abscissa.
In the Cartesian coordinate system, the plane is divided into four quadrants:
- Quadrant I (QI): Both x (abscissa) and y (ordinate) are positive.
- Quadrant II (QII): The x (abscissa) is negative and y (ordinate) is positive.
- Quadrant III (QIII): Both x (abscissa) and y (ordinate) are negative.
- Quadrant IV (QIV): The x (abscissa) is positive and y (ordinate) is negative.
Negative Abscissa Implications
When a point has a negative abscissa (x-coordinate), it means the point lies to the left of the y-axis. This situation can only occur in:
- Quadrant II (QII): Here, x is negative, and y is positive.
- Quadrant III (QIII): Here, x is negative, and y is also negative.
Conclusion
Thus, if the abscissa of a point is negative, it will lie in either:
- Quadrant II (QII): Negative x, Positive y
- Quadrant III (QIII): Negative x, Negative y
Therefore, the correct answer is option 'B' (II or III quadrant), as both quadrants accommodate a negative abscissa.
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Community Answer
If the abscissa of a point is negative. The point will lie ina)I or II...
Sign convention for Quadrants are
Ist quadrant → (+, +),
IInd quadrant → (-, +)
IIIrd quadrant → (-, -),
IVth quadrant → (+, -)
∴ Required point will lie in II, III quadrant.
Ist quadrant → (+, +),
IInd quadrant → (-, +)
IIIrd quadrant → (-, -),
IVth quadrant → (+, -)
∴ Required point will lie in II, III quadrant.
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If the abscissa of a point is negative. The point will lie ina)I or III quadrantb)II or III quadrantc)I or IV quadrantd)In III or IV quadrant.Correct answer is option 'B'. Can you explain this answer?
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