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__________

The condition that the chord x cos alpha+y sin alpha-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

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 normal chord of the parabola y^(2)=4ax subtends a right angle at the vertex.Then the length of chord is

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

The normal chord of the parabola y^(2)=4ax subtends a right angle at the focus.Then the end point of the chord is

Find the length of chord x-3y-3=0 of hyperbola (x^(2))/(9)-(y^(2))/(4)=1

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.