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If the point of intersection of the lines bx + 4y + 1 = 0 and ax + 8y + 1 = 0 lies on the line cx + 12y + 1 = 0, then what is the relation between a, b and c?
  • a)
    a + c = 2b
  • b)
    a + b = 2c
  • c)
    b + c = 2a
  • d)
    a + 2c = b
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the point of intersection of the lines bx + 4y + 1 = 0 and ax + 8y ...
►The point of intersection of lines bx + 4y + 1 = 0 and ax + 8y + 1 = 0 is
►Substituting these points in cx + 12y + 1 = 0, we get
⇒ c + 3(b - a) + (a - 2b) =  0
⇒ b + c = 2a
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If the point of intersection of the lines bx + 4y + 1 = 0 and ax + 8y + 1 = 0 lies on the line cx + 12y + 1 = 0, then what is the relation between a, b and c?a)a + c = 2bb)a + b = 2cc)b + c = 2ad)a + 2c = bCorrect answer is option 'C'. Can you explain this answer?
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