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### Question Asked by a Student from EXXAMM.com Team

Q 2127434381.     Observe the following columns :
Column IColumn II
(A) If maximum and minimum distances of sphere x^2 + y^2 + z^2- 4x+ 6y- 8z + 4= 0 from (-0, 0,10) are lambda and mu , then (P) lambda + mu =6
(B) If maximum and minimum distances of sphere x^2 + y^2 + z^2 + 2x- 2y- 4z -19 = 0 from (0 , 3, 4) are lambda and mu , then (Q) lambda + mu = 10
(C) If maximum and minimum distances of sphere x^2 +y^2 +z^2 -2x-4y+2z-3=0 from (-1,4,-2) are lambda and mu, then (R) lambda + mu =14
(S) lambda - mu =6
(T) lambda - mu =10
A

A -> (R, T); B -> (P, S); C -> (Q, S)

B

A -> (R, S); B -> (Q, T); C -> (P, S)

C

A -> (R, T); B -> (Q, S); C -> (P, S)

D

A -> (R, Q); B -> (T, S); C -> (P, S)

#### HINT

(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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