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 \( y=m x+2 \sqrt{5} \) touches the hyperbola \( 16 x^{2}-9 y^{2}=144 \) are the roots of the equation
P \( x^{2}-(a+b) x-4=0 \), then the value of \( (a+b) \) is equal to

W
(1) 2
(2) 4
(3) zero
(4) none of these
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