If the chord `xcosalpha+ysinalpha=p` of the hyperbola `(x^2)/(16)-(y^2)/(18)=1` subtends a right angle at the center, and the diameter of the circle, concentric with the hyperbola, to which the given chord is a tangent is `d ,` then the value of `d/4` is__________

if the chord of contact of tangents from a point P to the hyperbola x^2/a^2-y^2/b^2=1 subtends a right angle at the centre, then the locus of P is

if the chord of contact of tangents from a point P to the hyperbola x^2/a^2-y^2/b^2=1 subtends a right angle at the centre, then the locus of P is

The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 may subtend a right angle at the center of the circle is _

The locus of the poles of the chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 which subtend a right angle at its centre is

Chord of the parabola y^2+4y=(4)/(3)x-(16)/(3) which subtend right angle at the vertex pass through:

A variable chord of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(b > a), subtends a right angle at the center of the hyperbola if this chord touches. a fixed circle concentric with the hyperbola a fixed ellipse concentric with the hyperbola a fixed hyperbola concentric with the hyperbola a fixed parabola having vertex at (0, 0).

If the chords of contact of tangents from two points (-4,2) and (2,1) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 are at right angle, then find then find the eccentricity of the hyperbola.

The chords passing through (2, 1) intersect the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 at A and B. The locus of the point of intersection of tangents at A and B on the hyperbola is

The mid point of the chord x+2y+3=0 of the hyperbola x^(2)-y^(2)=4 is

The locus of the point, the chord of contact of which wrt the circle x^(2)+y^(2)=a^(2) subtends a right angle at the centre of the circle is