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A point on the straight line, 3x+5y=15 w...

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

A

`1^(st) and 2^(nd)` quadrants

B

`1^(st) ,2^(nd)and 4^(nd)` quadrants

C

`1^(st)` quadrant

D

`4^(th)` quadrant

Text Solution

Verified by Experts

The correct Answer is:
A
For point to be equidistant from axes it must lie on the y=x or y=-x line 3x+5y =15
`y=ximplies8x=15{:(x=15/8),(y=15/8):}}Pt(15/8,15/8)`
`y=-x3x+5y=15`
`3x+5(-x)=15`
`-2x=15`
`x=(-15)/(2),y=15/2`
`2^(nd)"quadrant "(-15/2,15/2)`
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