    Question

# Consider the parabola, (y+3)2=2(x−5), then the correct option(s) among the following is/are

A
point (5,3) lies on the parabola
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B
point (2,3) lies inside the parabola
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C
point (0,4) lies outside the parabola
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D
point (8,2) lies inside the parabola
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Solution

## The correct options are A point (5,−3) lies on the parabola C point (0,4) lies outside the parabola D point (8,−2) lies inside the parabolaIf the point (x1,y1) lies inside the parabola, then (y1+3)2−2(x1−5)<0 If the point (x1,y1) lies on the parabola, then (y1+3)2−2(x1−5)=0 If the point (x1,y1) lies outside the parabola, then (y1+3)2−2(x1−5)>0 For point (5,−3) (−3+3)2−2(5−5)=0 It lies on the parabola. For point (2,3) (3+3)2−2(2−5)>0 It lies outside the parabola. For point (0,4) (4+3)2−2(0−5)>0 It lies outside the parabola. For point (8,−2) (−2+3)2−2(8−5)<0 ​​​​​​​It lies inside the parabola.  Suggest Corrections  0      Similar questions  Related Videos   Position of a Point Relative to a Parabola
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