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India
Class XI

Write Equations of Parabolas

Interactive practice questions

A parabola has its vertex at the origin. Its focus lies on the $y$y-axis, $4$4 units above the vertex.

State the equation of the parabola.

Easy
2min

A parabola has its vertex at the origin. It has a focal length measuring $a=4$a=4 units, and its focus lies on the $x$x-axis.

State both possible equations of the parabola.

Easy
2min

Find the equation of the parabola with a focus at $\left(0,3\right)$(0,3) and a vertex at the origin. Let $a$a represent the focal length if necessary.

Easy
1min

Find the equation of the parabola with a focus at $\left(-6,0\right)$(6,0) and a vertex at the origin. Let $a$a represent the focal length if necessary.

Easy
1min
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Outcomes

11.CG.CS.1

Sections of a cone: Circles, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

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