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If the parabola y^(2)=4ax passes through...

If the parabola `y^(2)=4ax` passes through the (4,-8) then find the length of latus rectum and the co-ordinates of focus.

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To solve the problem step by step, we will follow the instructions provided in the video transcript while elaborating on each step. ### Step 1: Substitute the point into the parabola equation We are given the parabola equation \( y^2 = 4ax \) and the point (4, -8). We will substitute these values into the equation to find the value of \( a \). \[ (-8)^2 = 4a(4) \] ...
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