Question

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

Options

• 4^th quadrant

• 1^st, 2^nd and 4^th quadrants

• 1^st quadrant

• 1^st quadrant and 2^nd quadrants

Answer 1

A point on the straight line, 3x + 5y = 15 which is equidistant from the coordinate, axes will lie only in `underlinebb(1^(st) "quadrant" and 2^(nd) "quadrants")`.

Explanation:

Line 3x + 5y = 15

Let the point (h, h) which are equidistant from the coordinate axis

1^st quadrant (h, h)

3h + 5h = 15

h = `15/8` Point `(15/8, 15/8)`

2^nd quadrant (–h, h)

–3h + 5h = 15

h = `15/2`

`((-15)/2, 15/2)`satisfied

3^rd quadrant (–h, –h)

–3h – 5h = 15

h = `(-15)/8`

Point`(15/8, 15/8)`not satisfied

4^th quadrant (h, –h)

3h – 5h = 15

h = `(-15)/2`

`((-15)/2, 15/2)`satisfied