Full solution

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

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(-4,2)

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(-3,-6)

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(2,3)

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(8,-1)

Understand 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 need to find a point with a positive $x$ -coordinate and a negative $y$ -coordinate. $\newline$ Point A: $(-4,2)$ - The $x$ -coordinate is negative and the $y$ -coordinate is positive, so this point is not in the fourth quadrant.
Evaluate Point A: Evaluate the next point. $\newline$ Point B: $(-3,-6)$ - Both coordinates are negative, so this point is not in the fourth quadrant.
Evaluate Point B: Evaluate the next point. $\newline$ Point C: $(2,3)$ - Both coordinates are positive, so this point is not in the fourth quadrant.
Evaluate Point C: Evaluate the last point. $\newline$ Point D: $(8,-1)$ - The $x$ -coordinate is positive and the $y$ -coordinate is negative, which fits the criteria for the fourth quadrant.