AP EAMCET · Maths · Straight Lines
For the three points \(A(2,0), B(0,2)\) and \(P(1,1)\), suppose \(d\) is the algebraic sum of the distances of \(A\) and \(B\) from a line that passes through \(P\). Then, which of the following is correct?
- A \(d>0\) for all lines
- B \(d=0\) for at least one line
- C \(d=0\) for all lines
- D \(d>0\) at least for one line
Answer & Solution
Correct Answer
(C) \(d=0\) for all lines
Step-by-step Solution
Detailed explanation
Let the variable line be \(a x+b y+c=0\) The line passes through \((1,1)\), then \[ a+b+c=0...(i) \] \(d=\) algebraic sum of distance from \(A\) and \(B\) to the line…
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