Question

Area of the triangle formed by the vertex, focus and one end of latusrectum of the parabola $(x+2{)}^2=-12(y-1)$ is

• A. 36
• B. 18
• C. 9
• D. 6

Answer 1

Answer: (C)

Consider equal parabola $y^2=12x$.
Vertex: $V(0,0)$
Focus: $S(3,0)$
End point of Latus Rectum: $A(3,6)$
$\therefore$ Required area $=\frac{1}{2}SV\times AS=9$ sq. units