Question

Which quadrant(s) do not contain any points on the line represented by $x=10y$ ?

• A. $I$
• B. $II$
• C. $IV$
• D. Both $II$ and $IV$

Answer 1

Answer: (D)

Both $II$ and $IV$

The Given Line is $x=10y$ or $y=\frac{1}{10}x$

The slope of the line is positive and it passes through the origin. other than origin the line does not intersect coordinate axes at any point. with the positive slope, it increases with the increasing value of $x$ in the first quadrant and it decreases with the decreasing value of $x$ in the third quadrant.

Hence the $II$ and $IV$ quadrant do not contain any points on the line.

Correct option is $D$.