Question

Points $\left(1,-1\right),\left(2,-2\right),\left(4,-5\right),\left(-3,-4\right)$

• A. lie in II quadrant
• B. lie in III quadrant
• C. lie in IV quadrant
• D. do not lie in the same quadrant.

Answer 1

Answer: (B), (C)

lie in IV quadrant

Explanation for the correct options:

The given points are $\left(1,-1\right),\left(2,-2\right),\left(4,-5\right),\left(-3,-4\right)$.

Coordinates points in different quadrants are denoted by the following signs:

I Quadrant: $x$ and $y$ both are positive.

II Quadrant: $x$ is negative and $y$ is positive.

III Quadrant: $x$ and $y$ both are negaitive.

IV Quadrant: $x$ is positive and $y$ is negative.

Observe that the points $\left(1,-1\right),\left(2,-2\right),\mathrm{and}\left(4,-5\right)$ lie in the fourth quadrant and $\left(-3,-4\right)$ lie in the third quadrant.

Hence, options B and C are correct.