Question

Define conic sections in 60+ words.
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Answer 1

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Conic section is a figure obtained by the intersection of a surface of a cone with a plane.

Types:-

1. Parabola
2. Hyperbola
3. Ellipse

General equation of Conic section-

${ax}^{2} + bxy + {cy}^{2} + d x + ey + f = 0$

where a,b,c,d,e and f are constants.

Answer 2

➡️In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane.

$\huge{ \underline{ \bold{Types:-}}}$

1. Parabola

2. Hyperbola

3. Ellipse

4. Circles

➡️The four curves - circles, ellipses, parabolas, and hyperbolas. They are called conic sections because they can be formed by intersecting a right circular cone with a plane. When the plane is perpendicular to the axis of the cone, the resulting intersection is a circle.

➡️Circles = (x−h)2+(y−k)2=r2

➡️Ellipse with vertical major axis= (x−h)2b2+(y−k)2a2=1

➡️Hyperbola with horizontal transverse axis= (x−h)2a2−(y−k)2b2=1

➡️Hyperbola with vertical transverse axis= (y−k)2a2−(x−h)2b2=1

➡️Parabola with horizontal axis= (y−k)2=4p(x−h) , p≠0