Vector 3DHard

Question

The shortest distance between line y - x = 1 and curve x = y2 is

Options

A.
B.
C.
D.

Solution

P = (y2, y)
Perpendicular distance from P to x - y +1 = 0 is
y2 - y + 1 > 0 ∀ y ∈ R
∴ Coefficient y2 > 0
∴ Min value

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