The parametric equations of the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2)) = 1` are-

The parametric equations of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 are _

Equation of conjugate hyperbola w.r.t (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is

The auxiliary equation of circle of hyperbola (x ^(2))/(a ^(2)) - (y^(2))/(b ^(2)) =1, is

The auxiliary equation of circle of hyperbola (x ^(2))/(a ^(2)) - (y^(2))/(b ^(2)) =1, is

Show that the equation of the tangent to the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 " at " (x_(1), y_(1)) " is " ("xx"_(1))/(a^(2)) - (yy_(1))/(b^(2)) = 1

Find the equation of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x_(0),y_(0)) .

The parametric equations of the parabola y^(2) = 12x are _

Find the parametric equation of the parabola (x-1)^(2)=-16(y-2)

Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 be the reciprocal to that of the ellipse x^(2)+4y^(2)=4 . If the hyperbola passes through a focus of the ellipse, then the equation of the hyperbola, is

Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 be the reciprocal to that of the ellipse x^(2)+4y^(2)=4 . If the hyperbola passes through a focus of the ellipse, then the equation of the hyperbola, is