Question

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

Answer 1

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