Trigonometric EquationMedium

Question

The minimum distance of origin from the line of intersection of the planes z = 3 and x + y + z = 4 is -

Options

A. units
B. units
C. units
D. units

Solution

z = 3, x + y = 1
Any point P on this line is (x, 1 – x, 3)
d2 = x2 + (x - 1)2 + 9 = 2x2 - 2x + 10
dmin =

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