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The value of m for which the line y=mx+2...

The value of `m` for which the line `y=mx+2` becomes a tangent to the hyperbola `4x^(2)-9y^(2)=36` is

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Values of m, for which the line y=mx+2sqrt5 is a tangent to the hyperbola 16x^(2)-9y^(2)=144 , are the roots of the equation x^(2)-(a+b)x-4=0 , then the value of (a+b) is equal to

Values of m, for which the line y=mx+2sqrt5 is a tangent to the hyperbola 16x^(2)-9y^(2)=144 , are the roots of the equation x^(2)-(a+b)x-4=0 , then the value of (a+b) is equal to