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The tangent at a point P on the hyperbol...

The tangent at a point `P` on the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` meets one of the directrix at `Fdot` If `P F` subtends an angle `theta` at the corresponding focus, then `theta=` (a)`pi/4` (b) `pi/2` (c) `(3pi)/4` (d) `pi`

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