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Select the correct option from the given alternatives: Equation of the parabola with vertex at the origin and directrix x + 8 = 0 is __________ - Mathematics and Statistics

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प्रश्न

Select the correct option from the given alternatives:

Equation of the parabola with vertex at the origin and directrix x + 8 = 0 is __________

विकल्प

  • y2 = 8x

  • y2 = 32x

  • y2 = 16x

  • x2 = 32y

MCQ

उत्तर

y2 = 32x

Explanation:

Since directrix is parallel to Y-axis,
X-axis is the axis of the parabola.
Let the equation of parabola be y2 = 4ax.
Equation of directrix is x + 8 = 0
∴ a = 8
∴ required equation of parabola is y2 = 32x

shaalaa.com
Conic Sections - Parabola
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Conic Sections - Miscellaneous Exercise 7 [पृष्ठ १७६]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 7 Conic Sections
Miscellaneous Exercise 7 | Q I. (6) | पृष्ठ १७६

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