TS EAMCET · Maths · Parabola
The area of a triangle (in sq. units) formed by the latus rectum of the parabola \(x^2=16 y\) and the lines joining the vertex of the parabola to the ends of the latus rectum is
- A 24
- B 28
- C 32
- D 64
Answer & Solution
Correct Answer
(C) 32
Step-by-step Solution
Detailed explanation
\begin{aligned} & \qquad x^2=16 y \Rightarrow x^2=4 a y \\ & \therefore \quad a=4 \text { and focus }=(0,4) \\ & \text { Put } y=4 \text { in } x^2=16 y \\ & \Rightarrow x^2=64 \Rightarrow x= \pm 8 \\ & \therefore P=(8,4) \text { and } Q=(-8,4) \\ & \text { Area of } \triangle O…
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