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Mutually perpendicular tangents T Aa n d...

Mutually perpendicular tangents `T Aa n dT B` are drawn to `y^2=4a x` . Then find the minimum length of `A Bdot`

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To find the minimum length of the line segment \( AB \) formed by mutually perpendicular tangents \( T_A \) and \( T_B \) drawn to the parabola \( y^2 = 4ax \), we can follow these steps: ### Step 1: Understand the Parabola The equation of the parabola is given by \( y^2 = 4ax \). The focus of this parabola is at the point \( (a, 0) \) and the directrix is the line \( x = -a \). **Hint:** Identify the focus and directrix of the parabola to understand the geometric properties. ### Step 2: Condition for Perpendicular Tangents ...
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