Consider the points A(–5, –1), B(–1, 0), C(1, 2) and D(1, 3). Let P be a point such that d = PA2 + PB2 + PC2 + PD2 . The least possible value of d is :
(1) 28
(2) 30
(3) 32
(4) 34
Correct option (4) 34
Explanation:
PA2 + PB2 + PC2 + PD2 = 16 + 4 + 1 + 4 + 1 + 4 + 4 = 34