Conic Section T...

The equation of the chord of the circle x² + y² - 4x = 0, whose mid - point is (1, 0) is

The middle point of the chord x + 3y = 2 of the conic x² + xy - y² = 1, is

The mid - point of the chord 4 x - 3y = 5 of the hyperbola 2 x² - 3y² = 12, is

The length of the common chord of the parabolas y² = x and x² = y, is

The locus of middle points of chords of hyperbola
3x² - 2y² + 4x - 6y = 0 parallel to y = 2x, is

If a focal chord of parabola y² = 16x cuts it at points (f, g) and (h, k). Then f, h is equal to

If the parabola y² = 4ax, the length of the chord passing through the vertex inclined to the axis at π/4, is

If the chords of contact of tangents from two points (x₁, y₁) and (x₂, y₂) to the hyperbola 4x² - 9y² - 36 = 0 are right angles, then

If a focal chord of the parabola y² = ax is 2x - y - 8 = 0, then the equation of the directrix is

The length of the chord of the parabola y² = 4ax, which passes through the vertex and makes an angle α with the axis of the parabola is