Question

If a hyperbola passes through the point P($\sqrt{2},\sqrt{3}$) and has foci at (±2,0), then the tangent to this hyperbola at P is

• A. y=x$\sqrt6-\sqrt3$
• B. y=x$\sqrt3-\sqrt6$
• C. y=x$\sqrt6+\sqrt3$
• D. y=x$\sqrt3+\sqrt6$

Answer 1

Answer: (B)

y=x$\sqrt3-\sqrt6$

Answer 2

The tangent to the hyperbola at point P(2, 3/2, 3) is parallel to the x-axis.

The correct answer is option (B): y=x$\sqrt3-\sqrt6$