Maharashtra State BoardHSC Science (Electronics) 11th
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Select the correct option from the given alternatives: The area of the triangle formed by the line joining the vertex of the parabola x2 = 12y to the endpoints of its latus rectum is _________ - Mathematics and Statistics

MCQ

Select the correct option from the given alternatives:

The area of the triangle formed by the line joining the vertex of the parabola x2 = 12y to the endpoints of its latus rectum is _________

Options

  • 22 sq.units

  • 20 sq.units

  • 18 sq.units

  • 14 sq.units

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Solution

18 sq.units

Explanation:


x2 = 12y

∴ 4b = 12

∴ b = 3

Area of triangle = `1/2 xx "AB" xx "OS"`

= `1/2 xx 4"a" xx "a"`

= `1/2(12)(3)`

= 18 sq. units

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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 7 Conic Sections
Miscellaneous Exercise 7 | Q I. (7) | Page 176
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