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Question

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

A
1st,2nd and 4th quadrants
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B
1st quadrant
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C
1st and 2nd quadrants
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D
4th quadrant
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Solution

The correct option is C 1st and 2nd quadrants
Given equation of straight line,
3x+5y=15

Case : 1
x=y
8x=15
x=15/8
y=15/8
P(158,158)
I Quadrant

Case : 2
x=y
2x=15
x=15/2
y=15/2
Q(152,152)
II Quadrant

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