The equation of the hyperbola with its axes as coordinate axes, whose transverse axis 8 and eccentricity 3/2 is

The conic represented by 2x²-12xy+23y²-4x-28y-48=0 is

A plane π makes intercepts 3 and 4 respectively on z-axis.If π is parallel to y-axis,then its equation is

If the latus rectum of a hyperbola x²/16-y²/p=1 is 4^1/2. If eccentricity e=

The length of the transverse axis of the hyperbola 4x²-9y²+8x+40=0 is

The locus of the point of intersection of tangents to the  hyperbola  x²-y²=a² which includes an angle of 45⁰ is

The conic represented by x²-4x+3y-1=0 is

The locus of poles of tangents to the hyperbola x²-y²=a² w. r. t the parabola y²=4ax is

A normal to the hyperbola x²/a²-y²/b²=1 cuts the axes at K and L. The perpendiculars at K and L axes meet in P. The locus of P is

The equation of the asymptotes of the hyperbola 4x²-9y²=36 are