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Portion of asymptote of hyperbola x^2/a^...

Portion of asymptote of hyperbola `x^2/a^2-y^2/b^2 = 1` (between centre and the tangent at vertex) in the first quadrant is cut by the line `y + lambda(x-a)=0` (lambda is a parameter) then (A) `lambda in R` (B) `lambda in (0,oo)` (C) `lambda in (-oo,0)` (D) `lambda in R-{0}`

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