A. cos α+β/2
B. cos α-β/2
C. cos 2α+2β/4
D. sin 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
If m1, m2 are slopes of the tangents to the hyperbola x2/25-y2/16=1 which pass through the point (6, 2) then
The asymptotes of a hyperbola are parallel to 2x + 3y = O and 3x+2y=0. Its centre is at (1, 2) and it passes through the point (5, 3). Its equation is
The equations of the tangents to the hyperbola 9x2-16y2 =144 at the ends of latus recta are
The locus of poles of chords of the parabola y2=4px which touch the hyperbola x2/a2-y2/b2=1is
If the equation of the hyperbola whose focus is (2, 4), eccentricity is 5 and directrix is 4x-3y+1=0 is 15x2-24xy+8y2+ax+by+c=0 then the ascending order of a, b, c is
The locus of the point of intersection of two tangents of the hyperbola x2/a2+y2/b2=1 which make an angle 300 with one another is
A line through the origin meets the circle x2+y2=a2 at P and the hyperbola x2-y2=a2 at Q. The locus the point of intersection of the tangent at P to the circle and with the tangent t Q to the hyperbola is
The equation to one asymptote of the hyperbola 14x2+38xy+20y2+x-7y-91=0 is 7x+5y-3=0, then the other asymptote is