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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
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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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