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  • Equation of parabola having it's focus at and one extremity of it's latus rec

Equation of parabola having it's focus at \mathrm{S}(2,0) and one extremity of it's latus rectum as \mathrm{(2,3)} is
 

Option: 1

\mathrm{y}^2=4(3-\mathrm{x})


 


Option: 2

\mathrm{y}^2=4(1-\mathrm{x})
 


Option: 3

\mathrm{y}^2=8(3-\mathrm{x})
 


Option: 4

\mathrm{y}^2=8(1-\mathrm{x})


Answers (1)

best_answer

Clearly the other extremity of latus rectum is (2,-2). It's axis is x-axis. Corresponding value of \mathrm{\mathrm{a}=\frac{2-0}{2}=1}. Hence it's vertex is \mathrm{(1,0) \: or\: (3,0)} Thus it's equation is \mathrm{\mathrm{y}^2=4(\mathrm{x}-1)\: or \: y^2=-4(x-3).}

Hence option 1 is correct.

Posted by

rishi.raj

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