Let a(t) is a function of t such that da/dt = 2 for all the values of t and a = 0 when t = 0. Further y = m(t) x + c(t) is the tangent to the curve y = x2 − 2ax + a2 + a at the point whose abscissa is 0. Then
If the rate of change of c(t) with respect to t, when t = k, is l, then
(A) 16 − 2√2
(B) 8√2 + 2
(C) 10√2 + 2
(D) 16√2 + 2
