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
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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