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If l1 is the tangent to the hyperbola x^...

If `l_1` is the tangent to the hyperbola `x^2/9-y^2/4=1` and `l_2` is a straight lines passing through `(0,0)` and perpendicular to `l_1` . If the locus of point of intersection of `l_1 and l_2` is `(x^2+y^2)^2=ax^2+by^2` then the value of `a+b` is

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