NIMCET 2024 Paper

Section: Mathematics

Question : 7 of 120

Marks: +1, -0

If the perpendicular bisector of the line segment joining

P(1,4)

and

Q(k, 3)

has

y

intercept -4 , then the possible values of

k

are:

Solution:

As the perpendicular bisector is equidistant from the points

P

and

Q

. Hence the point

(0,-4)

has same distance from the points P and Q .

\;⇒ {√{ }} k^2+(3+4)^2={√{ }} 1^2+(4+4)^2

\;⇒ k= ± 4

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