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Question

The straight line ax+by+c=0(a,b,c0) will pass through the first quadrant if

A
ac>0,bc>0
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B
c>0
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C
ac>0 and/or bc>0
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D
ac<0 and/or bc<0
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Solution

The correct option is B ac<0 and/or bc<0
A line can pass through the first quadrant if
a) X and Y intercept are positive
b) Only X intercept is positive
c) Only Y intercept is positive
Xintercept=ca=c2ac
Yintercept=cb=c2bc
For case -a ) ac<0 , and bc<0
For case - b ) ac<0 , and bc>0
For case - c ) ac>0 and bc<0
Hence, the common intersection is ac<0 or bc<0 or both ac<0 and bc<0
Hence, Option D is correct.

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