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L = (1, 3), L₁ (1, –1) are the ends of latusrectum of a parabola. A is the vertex of the parabola then area of $△$ ALL₁ in sq. units is

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Detailed Solution

$\begin{array}{l} Given L = (1, 3), L^{1} = (1, - 1) \Rightarrow {LL}^{1} = 4 \\ \Rightarrow 4 a = 4 \Rightarrow a = 1 \\ \Rightarrow area = \frac{1}{2} \times 4 a \times a = 2 a^{2} = 2 \end{array}$

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