Let P(6,3) be a point on the hyperbola parabola `x^2/a^2-y^2/b^2=1`If the normal at the point intersects the x-axis at (9,0), then the eccentricity of the hyperbola is

Let P(4,3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If the normal at P intersects the x-axis at (16,0), then the eccentricity of the hyperbola is

Write the eccentricity of the hyperbola 9x^(2)-16y^(2)=144

Find the eccentricity of hyperbola x^(2)-9y^(2)=1 .

The line 2x+y=1 is tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1. If this line passes through the point of intersection of the nearest directrix and the x-axis,then the eccentricity of the hyperbola is