Statement I Let P(x,y) be any point on parabola. Distance from P to focus = Perpendicular distance from ? to direction √(x−2)2+(y−3)2=
|x+2y+5|
√12+22
5(x2+y2−4x−6y+4+9)=x2+4y2 +25+4xy+20y+10x 4x2+y2−4xy−30x−50y+40=0 ∴ Statement I is true. Statement II x2−4x+16y+52=0 x2−4x+4=−16y−48 (x−2)2=−16(y+3) Comparison with X2=4aY, we get vertex (2,−3) Equation of directrix is Y=a y+3=4⇒y=1 or y−1=0 ∴ Statement II is wrong.