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

Create a free account to view solution
View Solution FreeMore Vector 3D Questions
The shortest distance between the line y - x = 1 and the curve x = y2 is...The shortest distance from the plane 12x + 4y + 3z = 327 to the sphere x2 + y2 + z2 + 4x - 2y - 6z = 155 is...The direction ratios of lines intersecting the line at angle 60o can be -...If the shortest distance between the lines (α ≠ − 1) and x + y + z + 1 = 0 = 2x − y +z + 3 is, th...Shortest distance between the lines and is -...