A. 2x+y±√13=0
B. 3x-y±√6=0
C. 3x-y±2=0
D. 3x-y±√2=0
The equations of the tangents to the hyperbola 2x2-3y2=6 which are perpendicular to the line x-2y+5 =0 are
P is a point on x2/a2-y2/b2=1 and A, A’ are the vertices of the conic. If PA, PA’ meet an asymptote at K and L then (KL)2=
If the circle x2+y2=a2 intersects the hyperbola xy=c2 in four points (xi, yi), for i=1,2,3 and 4 then y1+y2+y3+y4=
The equation of the normal at the positive end of the latus rectum of the hyperbola x2-3y2=144 is
The curve represented by x=a(cosh θ+sinh θ), y=b(cosh θ-sinh θ) is
The equation to hyperbola whose centre is (0,0) distance between the foci is 18 and between the directrices is 8 is
The locus of poles of tangents to the circle x2+y2=a2-b2 w. r. t the hyperbola x2/a2-y2/b2=1is
If α and β are two points on the hyperbola x2/a2-y2/b2=1 and the chord joining these two points passes through the focus (ae, 0) then e cos α-β/2=
The foot of the normal 3x+4y=7 to the hyperbola 4x2-3y2=1 is
If the asymptotes of the hyperbola 14x2+38xy+20y2+x-7y-91=0 are 7x+5y-3=0, ax+by+c=0 then the descending order of a, b, c is