Full solution

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

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(1,4)

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(-7,7)

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(8,-6)

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(-5,-2)

Properties of Fourth Quadrant: Understand the properties of the fourth quadrant. $\newline$ In the Cartesian coordinate system, the fourth quadrant is where the $x$ -coordinate is positive and the $y$ -coordinate is negative.
Evaluate Given Points: Evaluate the given points to determine which one lies in the fourth quadrant. $\newline$ We will check each point to see if it has a positive $x$ -coordinate and a negative $y$ -coordinate. $\newline$ Point $(1,4)$ : $x$ -coordinate is positive, $y$ -coordinate is positive. $\newline$ This point does not lie in the fourth quadrant.
Point $(1,4)$ : Evaluate the second point. $\newline$ Point $(-7,7)$ : $x$ -coordinate is negative, $y$ -coordinate is positive. $\newline$ This point does not lie in the fourth quadrant.
Point $(-7,7)$ : Evaluate the third point. $\newline$ Point $(8,-6)$ : $x$ -coordinate is positive, $y$ -coordinate is negative. $\newline$ This point does lie in the fourth quadrant.
Point $(8,-6)$ : Evaluate the fourth point for completeness. $\newline$ Point $(-5,-2)$ : $x$ -coordinate is negative, $y$ -coordinate is negative. $\newline$ This point does not lie in the fourth quadrant.