AP EAMCET · Maths · Straight Lines
If the \(y\)-intercept of the perpendicular bisector of the line segment joining \(\mathrm{P}(1,4)\) and \(\mathrm{Q}(\mathrm{k}, 3)\) is -4 , then a possible value of \(k\) is
- A \(2\)
- B \(-2\)
- C \(-4\)
- D \(1\)
Answer & Solution
Correct Answer
(C) \(-4\)
Step-by-step Solution
Detailed explanation
Mid point of \(P Q\) is \(\Rightarrow M=\left(\frac{1+k}{2} ; \frac{7}{2}\right)\) Slope of line \(P Q \Rightarrow m=\frac{4-3}{1-k}=\frac{1}{1-k}\) Slope of perpendicular bisector is \(m m^{\prime}=-1 \Rightarrow m^{\prime}=(k-1)\) The equation of perpendicular bisector is…
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