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In which quadrant does the point (-7, -4...

In which quadrant does the point `(-7, -4)` lie ?

A

IV

B

II

C

III

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To determine in which quadrant the point \((-7, -4)\) lies, we can follow these steps: ### Step 1: Understand the Coordinate System The Cartesian coordinate system is divided into four quadrants: - **Quadrant I**: (x > 0, y > 0) - **Quadrant II**: (x < 0, y > 0) - **Quadrant III**: (x < 0, y < 0) - **Quadrant IV**: (x > 0, y < 0) ### Step 2: Identify the Coordinates The given point is \((-7, -4)\). Here, \(-7\) is the x-coordinate and \(-4\) is the y-coordinate. ### Step 3: Analyze the Signs of the Coordinates - The x-coordinate \(-7\) is negative. - The y-coordinate \(-4\) is also negative. ### Step 4: Determine the Quadrant Since both coordinates are negative, the point \((-7, -4)\) lies in **Quadrant III**, where both x and y values are negative. ### Final Answer The point \((-7, -4)\) lies in the **third quadrant**. ---
To determine in which quadrant the point \((-7, -4)\) lies, we can follow these steps: ### Step 1: Understand the Coordinate System The Cartesian coordinate system is divided into four quadrants: - **Quadrant I**: (x > 0, y > 0) - **Quadrant II**: (x < 0, y > 0) - **Quadrant III**: (x < 0, y < 0) - **Quadrant IV**: (x > 0, y < 0) ...
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