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MHT CET202013 Oct 2020Evening ShiftMathematicsPair of LinesActual

If the equation a x²+b y²+c x+c y=0, c 0 represents a pair of lines, then

Options

  1. Aa+c=0
  2. Ba+b=0
  3. Ca-c=0
  4. Da-b=0

Correct answer

B. a+b=0

Step-by-step solution

Given a x²+b y²+c x+c y=0 represent pair of line if | array ccc a & 0 & c 2 0 & ~b & c 2 c 2 & c 2 & 0 array |=0 - a c² 4 + c 2 ( 0-b c 2 )=0 -a c² 4 - b c² 4 =0-a c²-b c²=0 c²(a+b)=0 a+b=0 [ c 0 , given ]

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