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  • The equation of parabola is given by  <img alt="\mathrm {y^2+8 x-12 y+20=0}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%20%7By%5E2&plus;8%20x-12%20y&plus;20%3D0%7D"

The equation of parabola is given by  \mathrm {y^2+8 x-12 y+20=0} . Tick the correct options given below :
 

Option: 1

\mathrm {vertex (2,8)}


Option: 2

\mathrm {focus (0,2)}


Option: 3

\mathrm {\text {latus rectum 12}}


Option: 4

\mathrm {axis \: \: y=6}


Answers (1)

best_answer


\mathrm {y^2-12 y=-8 x-20}

Add 36 both the sides


\mathrm { \therefore(y-6)^2=-8(x-2) } 


or  \mathrm { Y^2=4 A X } where  \mathrm { A=-2 }


Axis is  \mathrm { Y=0 \: \: or\: \: y-6=0 \: \: or \: \: y=6 }


Vertex  \mathrm { X=0, Y=0\: \: i.e.(2,6) }


Focus \mathrm { X=A, Y=0 \: \: or \: \: x-2=-2, y-6=0 }


or  \mathrm { \quad x=0, y=6 \quad \therefore \quad(0,6) }

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