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If it is possible to draw the tangent to the hyperbola `x^2/a^2-y^2/b^2=1`having slope 2,then find the range of eccentricity

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To solve the problem, we need to find the range of the eccentricity \( e \) of the hyperbola given that a tangent can be drawn with a slope of 2. ### Step 1: Write the equation of the hyperbola The equation of the hyperbola is given as: \[ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 \] ...
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