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Locus of all such points from where the ...

Locus of all such points from where the tangents drawn to the ellipse `x^2/a^2 + y^2/b^2 = 1` are always inclined at `45^0` is: (A) `(x^2 + y^2 - a^2 - b^2)^2 = (b^2 x^2 + a^2 y^2 - 1)` (B) `(x^2 + y^2 - a^2 - b^2)^2 = 4(b^2 x^2 + a^2 y^2 - 1)` (C) `(x^2 + y^2 - a^2 - b^2)^2 = 4(a^2 x^2 + b^2 y^2 - 1)` (D) none of these

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