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Dear pratik
2x - y2 + 2y +3 = 0
convert it in to standard form
(y-1)2 -2(x+2)=0
let S =(y-1)2 -2(x+2)
now put point S1 =17>0
so point lie outside the parabola
now solve it with another method
let S =2x - y2 + 2y +3
put point
S1= -17
this result gives that point lie inside the parabola
but you should careful that in standard form coefficient of y2
is positive so you must take y2 as a positive coefficient in general form
so you will take S =-2x + y2 - 2y -3
Regards
Badiuddin
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