Find the equation of the parabola that satisfies the following con | Filo
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Class 11

Math

3D Geometry

Conic Sections

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Find the equation of the parabola that satisfies the following conditions: Vertex passing through and axis is along -axis

Solution: Since the vertex is and the axis of the parabola is the -axis.
Equation of the parabola is either of the form or
The parabola passes through point which lies in the first quadrant
Therefore, the equation of the parabola is of the form  
Point must satisfy the equation


Thus, the equation of the parabola is 




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