The locus of midpoint of the chords of hyperbola `(x^(2))/(25)-(y^(2))/(36)=1` which passes through the point (2,4) is a conic whose eccentricity is

The locus of the midpoint of the chords of the hyperbola (x^(2))/(25)-(y^(2))/(36)=1 which passes through the point (2, 4) is a hyperbola, whose transverse axis length (in units) is equal to

The locus of the middle points of the chords of hyperbola (x^(2))/(9) - (y^(2))/(4) =1 , which pass through the fixed point (1, 2) is a hyperbola whose eccentricity is

The locus of the middle points of the chords of the parabola y^(2)=4ax , which passes through the origin is :

Prove that the locus of the middle-points of the chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 which pass through a fixed point (alpha, beta) is a hyperbola whose centre is ((alpha)/(2), (beta)/(2)) .

Locus of the middle point of the chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 Which passes through a fixed point (alpha,beta) is hyperbola whose centre is (A) (alpha,beta) (B) (2 alpha,2 beta) (C) ((alpha)/(2),(beta)/(2)) (D) none

Find the locus of the mid-points of the chords of the hyperbola x^(2)-y^(2)=1 which touch the parabola y^(2)=4x

The locus of the middle points of the chords of the parabola y^(2)=4ax which pass through the focus, is

The eccentricity of the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 is

The locus of the mid-points of the chords of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which pass through the positive end of major axis,is.

The locus of the mid - points of the chords of the hyperbola 3x^(2)-2y^(2)+4x-6y=0 which are parallel to the line y=2x+4 is