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Consider the straight lines aligned & L₁: x-y=1 & L₂: x+y=1 & L₃: 2 x+2 y=5 & L₄: 2 x-2 y=7 aligned The correct statement is

Options

  1. AL₁ |L₄, L₂ | L₃, L₁ intersect L₄ .
  2. BL₁ L₂, L₁ | L₃, L₁ intersect L₂ .
  3. CL₁ L₂, L₂ | L₃, L₁ intersect L₄ .
  4. DL₁ L₂, L₁ L₃, L₂ intersect L₄ .

Correct answer

D. L₁ L₂, L₁ L₃, L₂ intersect L₄ .

Step-by-step solution

Consider the lines L₁: x-y=1L₂: x+ y =1L₃: 2 x+2 y=5L₄: 2 x-2 y=7L₁ L₂ is correct statement ( Product of their slopes =-1)L₁ L₃ is also correct statement ( Product of their slopes =-1) Now, L₂: x+y=1L₄: 2 x-2 y=7 2 x-2(1-x)=7 2 x-2+2 x=7 x= 9 4 and y= -5 4 Hence, L₂ intersects L₄ .

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