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

Correct option is 4ac<0 and/or bc<0

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The straight line ax + by + c = 0, where $a b c \neq 0$ will pass through the first quadrant if

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ac>0,bc>0

c>0 and bc<0

bc>0 and / or ac>0

ac<0 and/or bc<0

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detailed solution

Correct option is D

If the line meets the x- and y-axes at A and B, thenA≡(−c/a,0),B≡(0,−c/b). The line will pass through the first quadrant if −c/a>0 and / or −c/b>0 i.e., ac<0 and/or bc<0

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

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Ready to Test Your Skills?

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The straight line ax + by + c = 0, where $a b c \neq 0$ will pass through the first quadrant if