The locus of the middle points of the chords of hyperbola $3{x^2} - 2{y^2} + 4x - 6y = 0$ parallel to $y = 2x$ is
The locus of the middle points of the chords of hyperbola $3{x^2} - 2{y^2} + 4x - 6y = 0$ parallel to $y = 2x$ is
- A
$3x - 4y = 4$
- B
$3y - 4x + 4 = 0$
- C
$4x - 4y = 3$
- D
$3x - 4y = 2$
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$P$ is a point on the hyperbola $\frac{{{x^2}}}{{{a^2}}} - \frac{{{y^2}}}{{{b^2}}}$ $= 1, N $ is the foot of the perpendicular from $P$ on the transverse axis. The tangent to the hyperbola at $P$ meets the transverse axis at $ T$ . If $O$ is the centre of the hyperbola, the $OT. ON$ is equal to :
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