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

Understand Quadrant Characteristics: Understand the characteristics of the third quadrant. In the Cartesian coordinate system, the third quadrant is where both x and y coordinates are negative.Evaluate First Point: Evaluate the given points to determine which one lies in the third quadrant. (-1,4): x is negative, but y is positive. This point does not lie in the third quadrant.Evaluate Second Point: Evaluate the second point. (4,-4): x is positive, but y is negative. This point does not lie in the third quadrant.Evaluate Third Point: Evaluate the third point. (-7,-2): Both x and y are negative. This point lies in the third quadrant.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: (1,6): x is positive, and y is positive. This point does not lie in the third quadrant.

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Q. Select the point which lies in the third quadrant.

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(-1,4)

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(4,-4)

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(-7,-2)

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(1,6)

Understand Quadrant Characteristics: Understand the characteristics of the third quadrant. $\newline$ In the Cartesian coordinate system, the third quadrant is where both $x$ and $y$ coordinates are negative.
Evaluate First Point: Evaluate the given points to determine which one lies in the third quadrant. $\newline$ $(-1,4)$ : $x$ is negative, but $y$ is positive. This point does not lie in the third quadrant.
Evaluate Second Point: Evaluate the second point. $\newline$ $(4,-4)$ : $x$ is positive, but $y$ is negative. This point does not lie in the third quadrant.
Evaluate Third Point: Evaluate the third point. $\newline$ $(-7,-2)$ : Both $x$ and $y$ are negative. This point lies in the third quadrant.
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: $\newline$ $(1,6)$ : $x$ is positive, and $y$ is positive. This point does not lie in the third quadrant.