Question

A point on the straight line, $3x+5y=15$ which is equidistant from the coordinate axes will lie only in:

• A. $1^{\text{st}},2^{\text{nd}}$ and $4^{\text{th}}$ quadrants
• B. $1^{\text{st}}$ quadrant
• C. $1^{\text{st}}$ and $2^{\text{nd}}$ quadrants
• D. $4^{\text{th}}$ quadrant

Answer 1

The correct option is C $1^{\text{st}}$ and $2^{\text{nd}}$ quadrants

Given equation of straight line,
$3x+5y=15$

Case : 1
$x=y$
$8x=15$
$x=15/8$
$y=15/8$
$\therefore P(\frac{15}{8},\frac{15}{8})$
$\text{I Quadrant}$

Case : 2
$x=-y$
$-2x=15$
$x=-15/2$
$y=15/2$
$\therefore Q(-\frac{15}{2},\frac{15}{2})$
$\text{II Quadrant}$