The mid-point of a chord of the ellipse x2 + 4y2 - 2x + 20y = 0 is (2, - 4). The equation of the chord is
x - 6y = 26
x + 6y = 26
6x - y = 26
6x + y = 26
If a = 9 is a chord of contact of the hyperbola x2 - y2 = 9, then the equation of the tangent at one of the points of contact is
The point at which the circles x2 + y2 - 4x - 4y + 7 = 0 and x2 + y2 - 12x - 10y + 45 = 0 touch each other, is
The length of the common chord of the two circles x2 + y2 - 4y = 0 and x2 + y2 - 8x - 4y + 11 = 0, is
The locus of the centre of the circle, which cuts the circle x2 + y2 - 20 + 4 = 0 orthogonally and touches the line x = 2, is
x2 = 16y
y2 = 4x
y2 = 16x
x2 = 4y
If a normal chord at a point t on the parabola y2 = 4ax subtends a right angle at the vertex, then t equals to
1
2
The slopes of the focal chords of the parabola y2 = 32x, which are tangents to the circle x2 + y2 = 4, are
If tangents are drawn from any point on the circle x2 + y2 = 25 to the ellipse , then the angle between the tangents is