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AP EAMCET2001MathematicsHyperbola

Equation of curve in polar coordinates is l r =2 ^2 2 , then it represents

Options

  1. Aa straight line
  2. Ba parabola
  3. Ca circle
  4. Dan ellipse

Correct answer

B. a parabola

Step-by-step solution

We have, l r =2 ^2 2 l r =1- array rlrl & l & =r(1- ) l+r =r & & r^2 & =(l+r )^2 & x^2+y^2 & =(l+x)^2 & x^2+y^2 & =l^2+x^2+2 l x & & y^2 & =2 l (x+ l 2 ) array Which represents a parabola.

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