What does the equation `3x^(2)+2xy+3y^(2)-18x-22y+50=0` become if the axis are tranferred to parallel axis through the point (2,3) ?

What does the equation 2x^(2)+4xy-5y^(2)+20x-22y-14=0 become when referred to the rectangular axes through the point (-2,-3), the new axes being inclined at an angle at 45^(@) with the old axes?

Transform the equation x^(2)+xy-3x-y+2=0 to parallel axis through the point (1,1).

Find the equation to which the equation x^(2)+7xy-2y^(2)+17x-26y-60=0 is transformed if the origin is shifted to the point (2,-3), the axes remaining parallel to the original axies.

Transform the equation 3x^(2)+2y^(2)-4x+3y=0 to parallel axes through the point (1,-2).

Find the points on the curve x^(2) + y^(2) - 2x - 3 = 0 at which the tangents are parallel to X-axis.

Find the points on the curve x^2 + y^(2) - 2x - 3 = 0 at which the tangents are parallel to the x-axis.

Find the points on the curve x^(2) + y^(2) – 2x – 3 = 0 at which the tangents are parallel to the x-axis.

Find the points on the curve x^(2) + y^(2) – 2x – 3 = 0 at which the tangents are parallel to the x-axis.