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Answer the following: Find the Cartesian coordinates of the point on the parabola y2 = 12x whose parameter is −3 - Mathematics and Statistics

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प्रश्न

Answer the following:

Find the Cartesian coordinates of the point on the parabola y2 = 12x whose parameter is −3

योग

उत्तर

The equation of the parabola is y2 = 12x.

Comparing with y2 = 4ax, we get,

4a = 12

∴ a = 3

The point with parameter t is

P(t) ≡ (at2, 2at)

P(– 3) = (3 × 9, 2 × 3 × (– 3))

= (27, –18)

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Conic Sections - Parabola
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Conic Sections - Miscellaneous Exercise 7 [पृष्ठ १७७]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 7 Conic Sections
Miscellaneous Exercise 7 | Q II. (2) (ii) | पृष्ठ १७७

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