3x2 + 3y2 - 8x - 13y = 0
3x2 + 3y2 - 8x + 29y = 0
3x2 + 3y2 + 8x + 29y = 0
3x2 + 3y2 - 8x - 29y = 0
If the distance between foci of an ellipse is 6 and the length of the minor axis is 8, then the eccentricity is
C.
If the circle x2 + y2 = a2 intersects the hyperbola xy = c2 in four points (xi, yi), for i = 1, 2, 3 and 4, then y1 + y2 + y3 + y4 equals
0
c
a
c4
If the circle x2 + y2 + 2x + 3y + 1 = 0 cuts another circle x2 + y2 + 4x + 3y + 2 = 0 in A and B, then the equation of the circle with AB as a diameter is
x2 + y2 + x + 3y + 1 = 0
2x2 + 2y2 + 2x + 6y + 1 = 0
x2 + y2 + x + 6y + 1 = 0
2x2 + 2y2 + x + 3y + 1 = 0
The equation of the hyperbola which passes through the point (2, 3) and has the asymptotes 4x + 3y - 7 = 0 and x - 2y - 1 = 0 is
4x2 + 5xy - 6y2 - 11x + 11y + 50 = 0
4x2 + 5xy - 6y2 - 11x + 11y - 43 = 0
4x2 - 5xy - 6y2 - 11x + 11y + 57 = 0
x2 - 5xy - y2 - 11x + 11y - 43 = 0