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If the quadratic equation \( a x^{2}+b x+c=0 \) has \( -2 \) as one of its roots then \( a x+b y+c=0 \) represents.(A) A family of concurrent lines(B) A family of parallel lines (C) A single line (D) A line perpendicular to \( x \)-axis |
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Answer» The correct option is (A) A family of concurrent lines. Given ax2 + bx + c = 0 One root is −2 −2 + α = −b/a −−−(1) −2α = c/a −−−(2) On solving eq (1) and (2) c = 2(a + b) Given eq x + by + c = 0 x + by + 2a + 2b = 0 Hence above equation represents family of lines. |
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