All the chords of the hyperbola `3x^(2)-y^(2)-2x+4y=0` subtending a right angle at the origin pass through the fixed point `(h,k)` is.

Statement-1: All chords of the curve 3x^(2)-y^(2)-2x+4y=0 which subtend a right angle at the origin pass through a fixed point. Statement-2: The equation ax+by+c=0 represents a family of straight lines passing through a fixed point iff there is a linear relation between a, b and c.

Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a right angle at the origin, pass through a fixed point. Find the coordinates of the point.

Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a right angle at the origin, pass through a fixed point. Find the coordinates of the point.

All the chords of the curve 2x^(2) + 3y^(2) - 5x =0 which subtend a right angle at the origin are concurrent at :

Chords of the curve 4x^(2) + y^(2)- x + 4y = 0 which substand a right angle at the origin pass thorugh a fixed point whose co-ordinates are :

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

Show that all the chords of the curve 3x^2 – y^2 – 2x + 4y = 0 which subtend a right angle at the origin are concurrent. Does this result also hold for the curve, 3x^2 + 3y^2 – 2x + 4y = 0 ? If yes, what is the point of concurrency and if not, give reasons.

Show that all chords of a parabola which subtend a right angle at the vertex pass through a fixed point on the axis of the curve.

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).

The chords (tx + my - 1) = 0 (t, m being parameters) of the curve x^2-3y^2+3xy+3x=0, subtending a right angle at the origin, are concurrent at the point