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Question

The straight line ax+by+c=0 where abc 0 will pass through the first quadrant if

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

The correct option is D ac<0 and/or bc<0
Intercept form of a straight line is xa+yb=1 here a and b are respectively intercepts on x and y axis
Converting the given equation into intercept form we get xac+ybc=1
therefore the line intersects xaxis at (ca,0) and yaxis at (0,cb)
for the line to be in first quadrant ca>0 and cb>0
Multiplying both sides of inequality by a2 and b2 respectively we get ac<0 and bc<0

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