AP EAMCET · Maths · Straight Lines
Find the equation of the right bisector of the line segment joining the points \((3,4)\) and \((-1,2)\).
- A \(2 x+y-5=0\)
- B \(2 x-y+5=0\)
- C \(2 x+y+5=0\)
- D \(2 x-y-5=0\)
Answer & Solution
Correct Answer
(A) \(2 x+y-5=0\)
Step-by-step Solution
Detailed explanation
The right angle bisector of the line segment joining points \(A(3,4)\) and \(B(-1,2)\) passes through the mid-point of \(A\) and \(B\) perpendicular to line segment \(A B\). Now, the mid-point of \(A(3,4)\) and \(B(-1,2)\) is \(M\left(\frac{3-1}{2}, \frac{4+2}{2}\right)=M(1,3)\)…
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