# 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 _________

• 22 sq.units

• 20 sq.units

• 18 sq.units

• 14 sq.units

#### 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

Is there an error in this question or solution?

#### 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