If a hyperbola passing through the origin has 3x−4y−1=0
as its asymptotes, then find the equation of its transvers and conjugate axes.
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Two straight lines pass through the fixed points (±a,0) and have slopes whose products is p>0 Show that the locus of the points of intersection of the lines is a hyperbola.
If the distance between two parallel tangents having slope m
drawn to the hyperbola 9x2−49y2=1
is 2, then the value of 2∣m∣
Tangents are drawn from any point on the hyperbola 9x2−4y2=1
to the circle x2+y2=9
. Find the locus of the midpoint of the chord of contact.
The combined equation of the asymptotes of the hyperbola 2x2+5xy+2y2+4x+5y=0
none of these
Find the equation of the asymptotes of the hyperbola 3x2+10xy+9y2+14x+22y+7=0
Tangents are drawn to the ellipse a2x2+b2y2=1 at two points whose eccentric angles are α−β and α+β The coordinates of their point of intersection are
Find the vertices of the hyperbola 9x2−16y2−36x+96y−252=0
are two perpendicular chords of the rectangular hyperbola xy=c2˙
is the center of the rectangular hyperbola, then find the value of product of the slopes of CP,CQ,CR,