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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

  1. A1
  2. B2
  3. C-2
  4. D-4

Correct answer

D. -4

Step-by-step solution

Slope of bisector =k-1 Middle point = ( k +1 2 , 7 2 ) Equation of bisector is y- 7 2 =(k-1) (x- (k+1) 2 ) Put x =0 and y =-4 k= 4

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