Let \( (\alpha, \beta) \) be a point from which two perpendicular \...

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Let \( (\alpha, \beta) \) be a point from which two perpendicular
\( \mathrm{P}^{6} \) tangent can be drawn to the ellipse \( 4 x^{2}+5 y^{2}=20 \).

W If \( F=4 \alpha+3 \beta \), then which of the following is not true
(1) Domain of \( F \) is \( [-3,3] \)
(2) Range of \( F \) is \( [-15,15] \)
(3) Equation of the director circle is \( x^{2}+y^{2}=9 \)
(4) Maximum value of \( F \) is 10
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