The Condition That The Straight Line lx + My = N may Be A Normal To The Hyperbola b2x2 – a2y2 = a2b2 is

The curve for which the slope of the tangent at any point equals the ratio of the abscissa to the ordinate of the point is

The line P = x  become tangent to  if

The product of perpendicular drawn from any point on the hyperbola to its asymptotes is

The locus of the point of intersection of the lines 

, where m is a parameter, is always

If the eccentricities of the hyperbolas  and  be eand e₁, then 

The locus rectum of the hyperbola

9x² – 16y² – 18x – 32y – 151 = 0 is

The eccentricity of the conjugate hyperbola of the hyperbola x² – 3y² = 1 is

The distance between the directrices of a rectangular hyperbola is 10 units, then distance between its foci is