The locus of the point which is such that the chord of contact of t...

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The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \)
P forms a triangle of constant area with the coordinate axes is
(1) a straight line
(2) a hyperbola
(3) an ellipse
(4) a circle
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