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Select the point which lies in the third quadrant.

(-1,4)

(4,-4)

(-7,-2)

(1,6)

Select the point which lies in the third quadrant.\newline(1,4) (-1,4) \newline(4,4) (4,-4) \newline(7,2) (-7,-2) \newline(1,6) (1,6)

Full solution

Q. Select the point which lies in the third quadrant.\newline(1,4) (-1,4) \newline(4,4) (4,-4) \newline(7,2) (-7,-2) \newline(1,6) (1,6)
  1. Understand Quadrant Characteristics: Understand the characteristics of the third quadrant.\newlineIn the Cartesian coordinate system, the third quadrant is where both xx and yy coordinates are negative.
  2. Evaluate First Point: Evaluate the given points to determine which one lies in the third quadrant.\newline(1,4)(-1,4): xx is negative, but yy is positive. This point does not lie in the third quadrant.
  3. Evaluate Second Point: Evaluate the second point.\newline(4,4)(4,-4): xx is positive, but yy is negative. This point does not lie in the third quadrant.
  4. Evaluate Third Point: Evaluate the third point.\newline(7,2)(-7,-2): Both xx and yy are negative. This point lies in the third quadrant.
  5. Evaluate Fourth Point: There is no need to evaluate the fourth point since we have already found a point in the third quadrant. However, for completeness:\newline(1,6)(1,6): xx is positive, and yy is positive. This point does not lie in the third quadrant.

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