The point B(-3, 4) lies ina)IV Quadrantb)II Quadrantc)I Quadrantd)III ...
- In a coordinate plane, the quadrants are defined as follows:
- I Quadrant: (x > 0, y > 0)
- II Quadrant: (x < 0, y > 0)
- III Quadrant: (x < 0, y < 0)
- IV Quadrant: (x > 0, y < 0)
- The point B(-3, 4) has x-coordinate -3 and y-coordinate 4.
- Since x is negative and y is positive, it lies in the II Quadrant.
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The point B(-3, 4) lies ina)IV Quadrantb)II Quadrantc)I Quadrantd)III ...
Abscissa is negative and ordinate is positive
so it will lie in 2 quadrant
The point B(-3, 4) lies ina)IV Quadrantb)II Quadrantc)I Quadrantd)III ...
B(-3, 4) lies in the II Quadrant.
Explanation:
To determine the quadrant in which a point lies, we need to consider the signs of the x and y coordinates.
Quadrant I:
- In Quadrant I, both the x and y coordinates are positive.
- So, if a point has positive x and y coordinates, it lies in Quadrant I.
Quadrant II:
- In Quadrant II, the x coordinates are negative and the y coordinates are positive.
- So, if a point has negative x and positive y coordinates, it lies in Quadrant II.
Quadrant III:
- In Quadrant III, both the x and y coordinates are negative.
- So, if a point has negative x and y coordinates, it lies in Quadrant III.
Quadrant IV:
- In Quadrant IV, the x coordinates are positive and the y coordinates are negative.
- So, if a point has positive x and negative y coordinates, it lies in Quadrant IV.
In the given point B(-3, 4), the x coordinate is -3 and the y coordinate is 4. Since the x coordinate is negative and the y coordinate is positive, the point lies in Quadrant II.
Therefore, the correct answer is option b) II Quadrant.