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AP EAMCET · Maths · Straight Lines

The perpendicular bisector of line segment joining the points \(P(1,4)\) and \(Q(k, 3)\) has \(y\)-intercept -4 . Then a possible value of \(k\) among the following is

  1. A \(2\)
  2. B \(-2\)
  3. C \(-4\)
  4. D \(-1\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(-4\)

Step-by-step Solution

Detailed explanation

Let \(L R M\) is the perpendicular bisector of \(P Q\) at R \(\left[\because\right.\) Slope of line passing through \(\left(x_1, y_1\right)\) and\(\left.\left(x_2, y_2\right) \text { is } \frac{y_2-y_1}{x_2-x_1}\right]\)…