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

The line 2x+y=1 is tangent to the hyperbla (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

The line 2x + y = 1 touches a hyperbola and passes through the point of intersection of a directrix and the x-axis. The equation of the hyperbola is

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

If a line passes through the point of intersection of the lines 2x+y=5,x-y=1 and having slope 2 then it also passes through the point

The tangent at a point P on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 passes through the point (0,-b) and the normal at P passes through the point (2a sqrt(2),0). Then the eccentricity of the hyperbola is 2( b) sqrt(2)(c)3(d)sqrt(3)