Straight Line Question 140

Question: The straight line $ ax+by+c=0 $ , where $ abc\ne 0 $ , will pass through the first quadrant if

Options:

A) $ ac>0,bc>0 $

B) $ c>0andbc<0 $

C) $ bc>0and/orac>0 $

D) $ ac<0and/orbc<0 $

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Answer:

Correct Answer: D

Solution:

  • [d] If the line meets the x- and y-axes at A and B, then $ A\equiv (-c/a,0) $ , $ B\equiv (0,-c/b). $ The line will pass through the first quadrant if $ -c/a>0and/or-c/b>0 $ i.e., $ ac<0and/orbc<0 $