Vector 3DEasy
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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