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CAT 2017 Slot 1 QA Question & Solution

GeometryMedium

Question

The shortest distance of the point $(\frac{1}{2},1)$ from the curve y = I x -1I + I x + 1I is

Options

1
0
$\sqrt{2}$
$\sqrt{\frac{3}{2}}$

Solution

The graph of the given function is as shown below.

Question Figure

We can see that the shortest distance of the point (1/2, 1) will be 1 unit.