Math miscellaneousHard
Question
If (2, 3, 5) is one end of a diameter of the sphere x2 + y2 + z2 - 6x - 12y - 2z + 20 = 0, then the coordinates of the other end of the diameter are
Options
A.(4, 9, - 3)
B.(4, - 3, 3)
C.(4, 3, 5)
D.(4, 3, -3)
Solution
Coordinates of centre (3, 6, 1)
Let the coordinates of the other end of diameter are (α, β, γ)
then
Hence α = 4, β = 9 and γ = - 3.
Let the coordinates of the other end of diameter are (α, β, γ)
then
Hence α = 4, β = 9 and γ = - 3.
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