Choose the correct options for the following questions.
Equation of tangent to hyperbola $\frac{x^{2}}{2} - \frac{y^{2}}{2}=1$ at point $(2,1)$ is
Difficulty: Easy
A:
$2y+x-3=0$
B:
$2y-x+3=0$
C:
$2x+y+3=0$
D:
$2x-y-3=0$
The locus of intersection of perpendicular tangents to the parabola $y^{2}=4ax$ is:
Difficulty: Easy
A:
Axis of the parabola
B:
Focal chord of the parabola
C:
The tangent at vertex of the parabola
D:
A directrix of the parabola
The locus of mid point of local chord of parabola is:
Difficulty: Easy
A:
A circle
B:
A parabola
C:
An ellipse
D:
Hyperbola
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