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VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

Through a fixed point $$P(\alpha, \beta), a$$, variable line is drawn to cut the coordinate axes at $$A$$ and $$B$$. The locus of the mid-point of $$A B$$ is

A
a hyperbola with eccentricity 2
B
a hyperbola with centre $$\left(\frac{\alpha}{2}, \frac{\beta}{2}\right)$$
C
a hyperbola with asymptotes along axes
D
not a hyperbola
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