Statement - I : The point to which the origin has to be shifted to eliminate x and y term in the equation `a(x + alpha)^(2) + b (y + beta)^(2) = c " is " (- alpha, - beta)`
Statement - II : The point to which the origin has to be shifted to eliminate x and y terms in `ax^(2) + by^(2)+ 2gx + 2fy + c = 0 " is " ((-g)/(a),(-f)/(b))`
Statement - III : If the axes are rotated through an angle `90^(0)` then transformed equation of `x^(2) - y^(2) = 1 " is " x^(2) - y^(2) = - 1`
which of the above statements are true

Options

A. I, II are true
B. II, III are true
C. III, I are true
D. All are true

Answer

D