Straight LineHard

Question

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

Options

A.1
B.2
C.-2
D.-4

Solution

Slope of bisector = k - 1
Middle point =
Equation of bisector is

Put x = 0 and y = - 4.
⇒     k = ± 4.

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