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Find the equation of the following parabolas: Directrix x = 0, focus at (6, 0) - Mathematics

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प्रश्न

Find the equation of the following parabolas:

Directrix x = 0, focus at (6, 0)

बेरीज

उत्तर

Given that directrix = 0 and focus (6, 0)

∴ The equation of the parabola is (x – 6)2 + y2 = x2

⇒ x2 + 36 – 12x + y2 = x2

⇒ y2 – 12x + 36 = 0

Hence, the required equations is y2 – 12x + 36 = 0

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पाठ 11: Conic Sections - Exercise [पृष्ठ २०३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 11 Conic Sections
Exercise | Q 28.(a) | पृष्ठ २०३

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