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JEE Main 2008
Exam
JEE Main
Year
2008
Subject
Mathematics
Chapter
Straight Lines

JEE Main 2008 · Mathematics · Straight Lines

The perpendicular bisector of the line segment joining P(1,4) and...

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

Options

  1. A1
  2. B2
  3. C−2-2
  4. D−4-4

Correct answer

D. −4-4

Step-by-step solution

Slope of bisector =k−1=k-1 Middle point =(k+12,72)Equation= \left(\frac{\mathrm{k}+1}{2}, \frac{7}{2}\right) Equation of bisector isy-72=(\frac{7}{2}=(k-1) \left(x-\frac{(k+1)}{2}\right)PutPut\mathrm{x}=0andand\mathrm{y}=-4⇒k=\Rightarrow k=\pm4
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