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Find the area of the triangle formed by the lines joining the vertex of the parabola x 2 = 12 y to the ends of its latus rectum. - Mathematics

Find the area of the triangle formed by the lines joining the vertex of the parabola \[x^2 = 12y\]  to the ends of its latus rectum.

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Solution

The given equation of the parabola is x2 = 12y.

On comparing the given equation with\[x^2 = 4ay\] 

a = 3

Required area = \[\frac{1}{2}\left( LL' \times OS \right) = \frac{1}{2} \times 12 \times 3 = 18 \text{ square units }\] 

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 25 Parabola
Exercise 25.1 | Q 6 | Page 25
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