To calculate: The equation 100y^{2} + 4x=x^{2} + 104 in one of standard forms of the conic sections and identify the conic section.

usagirl007A

usagirl007A

Answered question

2021-01-15

To calculate: The equation 100y2 + 4x=x2 + 104 in one of standard forms of the conic sections and identify the conic section.

Answer & Explanation

timbalemX

timbalemX

Skilled2021-01-16Added 108 answers

Step 1Formula: The general equation of the hyperbola is x2a2  y2b2=1 where coordinate of the focus (± c, 0) and c2=a2 + b2Step 2Calculation:Consider the equation of the conic sections100y2 + 4x=x2 + 104That is100y2  x2 + 4x=104
100y2  (x2  4x)=104
100y2  (x2  4x + 4)=104  4
100y2  (x  2)2=100Or,y21  (x  2)2102=1Therfore the standard form of the conic section isy21  (x  2)2102=1And since, general equation of the hyperbola is x2a2  y2b2=1, hence, it's a hyperbola.

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