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Find the Equation of a Parabola with Vertex at the Origin and the Directrix, Y = 2. - Mathematics

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प्रश्न

Find the equation of a parabola with vertex at the origin and the directrix, y = 2. 

उत्तर

Let the equation of the directrix be y = a.       
= 2
Equation of the parabola with directrix y =a is \[x^2 = - 4ay\] 

Hence, the required equation of the parabola is \[x^2 = - 8y\] 

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अध्याय 25: Parabola - Exercise 25.1 [पृष्ठ २५]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 25 Parabola
Exercise 25.1 | Q 10 | पृष्ठ २५

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