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AP EAMCET2002MathematicsEllipse

The equation 1 r = 1 8 + 3 8 represents

Options

  1. Aa parabola
  2. Ban ellipse
  3. Ca hyperbola
  4. Da rectangular hyperbola

Correct answer

C. a hyperbola

Step-by-step solution

We have, 1 r = 1 8 + 3 8 array ccrl & & 8=r+3 r & r & =8-3 x & r^2 & =(8-3 x)^2 & & x^2+y^2=64+9 x^2-48 x & & 8 x^2-y^2-48 x+64=0 array Which represents a hyperbola.

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