The locus of the foot of the perpendicular from the focus on any tangent of the given hyperbola is:

x^{2} - y^{2} = a^{2}

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x^{2} + y^{2} = a^{2}

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x^{2} - y^{2} = b^{2}

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Solution

The correct option is A $x^{2} - y^{2} = a^{2}$
$\frac{x^{2}}{a} - \frac{y^{2}}{b} = 1$
$x^{2} - y^{2} = a^{2}$

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\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

x^{2} + y^{2} = a^{2} - b^{2}

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The locus of the foot of the perpendicular from the focus on any tangent of the given hyperbola is:

The correct option is A x2−y2=a2x2a−y2b=1x2−y2=a2

The correct option is A $x^{2} - y^{2} = a^{2}$
$\frac{x^{2}}{a} - \frac{y^{2}}{b} = 1$
$x^{2} - y^{2} = a^{2}$