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Select the point which lies in the fourth quadrant.

(3,4)

(-2,-4)

(1,-4)

(-8,2)

Select the point which lies in the fourth quadrant. $\newline$ $(3,4)$ $\newline$ $(-2,-4)$ $\newline$ $(1,-4)$ $\newline$ $(-8,2)$

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Full solution

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

\newline

(3,4)

\newline

(-2,-4)

\newline

(1,-4)

\newline

(-8,2)

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. $\newline$ $(3,4)$ - This point has a positive $x$ -coordinate and a positive $y$ -coordinate, so it is not in the fourth quadrant.
Evaluate second point: Evaluate the second point. $\newline$ $(-2,-4)$ - This point has a negative $x$ -coordinate and a negative $y$ -coordinate, so it is not in the fourth quadrant.
Evaluate third point: Evaluate the third point. $\newline$ $(1,-4)$ - This point has a positive $x$ -coordinate and a negative $y$ -coordinate, which fits the criteria for the fourth quadrant.
Evaluate fourth point: Evaluate the fourth point for completeness. $\newline$ $(-8,2)$ - This point has a negative $x$ -coordinate and a positive $y$ -coordinate, so it is not in the fourth quadrant.

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