If the values of \( m \) for which the line \( y=m x+2 \sqrt{5} \) ...

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If the values of \( m \) for which the line \( y=m x+2 \sqrt{5} \)
\( \mathrm{P}^{13} \) touches the hyperbola \( 16 x^{2}-9 y^{2}=144 \) are the roots

W of the equation \( x^{2}-(a+\mathrm{b}) x-4=0 \), then the value of \( \left(a_{a}+b\right) \) is equal to
(1) 2
(2) 4
(3) 0
(4) None of these
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