Math, asked by ramyapenugonda123, 4 months ago

16.16
Example 10:
Find the equation of the parabola whose focus is
(i) (1, -1) and directrix is the line
(a) 3x + 4y + 5 = 0.
a
A​

Answers

Answered by senboni123456
0

Step-by-step explanation:

Focus \equiv (1, -1)

Directrix : 3x + 4y + 5 = 0

Equation of parabola:

  \sqrt{(x - 1)^{2}  + (y + 1)^{2} }  =  \frac{ |3 - 4 + 5| }{ \sqrt{ {(3)}^{2}  +  {(4)}^{2} } }  \\

   \implies\sqrt{(x - 1)^{2}  + (y + 1)^{2} }  =  \frac{  4 }{ 5 }  \\

   \implies(x - 1)^{2}  + (y + 1)^{2}   =  \frac{ 16 }{25}\\

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