How do you name the curve given by the conic r=62+sinθ?
How do you name the curve given by the conic ?
Answer & Explanation
Beginner2022-02-11Added 13 answers
The polar equation of a conic, referred to a/the focus as the pole and the perpendicular from the pole to the (corresponding)
directrix as the initial line , is
e is the eccentricity of the conic and l is the semi latus rectum = #
X (length of the chord of the conic through the focus,that is perpendicular to the initial line).
The conic is named an ellipse, parabola or hyperbola according as #
Interestingly, for the circle the focus is at the center and radius a and . The equation is simply .
Here, the equation is
. So, , and so, the conic is an ellipse. The semi major axis a is given by
. So, .
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