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The equation of a parabola is \mathrm{y^2=4 x . P(1,3)} and \mathrm{Q(1,1)} are two points in the \mathrm{ x y}-plane. Then, for the parabola

Option: 1

P and Q are exterior points
 


Option: 2

P is an interior point while Q is an exterior point
 


Option: 3

P and Q are interior points
 


Option: 4

P is an exterior point while Q is an interior point


Answers (1)

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Here, \mathrm{S \equiv y^2-4 x=0 ; S(1,3)=3^2-4.1>0 \Rightarrow P(1,3)} is an exterior point.

                                               \mathrm{S(1,1)=1^2-4.1<0 \Rightarrow Q(1,1)}  is an interior point.

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shivangi.bhatnagar

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