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In which quadrant does the point(-7, 6) lie?
  • a)
    1st
  • b)
    2nd
  • c)
    3rd
  • d)
    4th
Correct answer is option 'B'. Can you explain this answer?
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Understanding Quadrants in the Cartesian Plane
The Cartesian plane is divided into four quadrants based on the signs of the x (horizontal) and y (vertical) coordinates. Here’s how each quadrant is defined:
  • 1st Quadrant: x > 0 and y > 0 (both coordinates are positive)
  • 2nd Quadrant: x < 0="" and="" y="" /> 0 (x is negative, y is positive)
  • 3rd Quadrant: x < 0="" and="" y="" />< 0="" (both="" coordinates="" are="" />
  • 4th Quadrant: x > 0 and y < 0="" (x="" is="" positive,="" y="" is="" />

Analyzing the Point (-7, 6)
To determine the quadrant in which the point (-7, 6) lies, we examine the signs of its coordinates:
  • x-coordinate: -7 (which is negative)
  • y-coordinate: 6 (which is positive)

Conclusion: Location of the Point
Since the x-coordinate is negative and the y-coordinate is positive, the point (-7, 6) falls into the 2nd quadrant.
Thus, the correct answer is option 'B', indicating it lies in the 2nd quadrant. This quadrant is characterized by x values being negative and y values being positive, which perfectly matches our point's coordinates.
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