(A) If vector a = j + √3k, vector b = -j + √3k and vector c = 2√3k form a triangle, then the internal

Question

Match the statements given in Column I with the values given in Column II.

Column I	Column II
(A) If vector a = j + √3k, vector b = -j + √3k and vector c = 2√3k form a triangle, then the internal angle of the triangle between vector a and vector b is	(P) π/6
(B) If ∫(f(x) - 3x)dx for x ∈[a, b] = a2 - b2, then the value of f(π/6) is	(Q) 2π/3
(C) The value of	(R) π/3
(D) The maximum value of |Arg(1/(1 - z)| for |z| = 1, z ≠ 1 is  given by	(S) π
	(T) π/2

Answer 1

Answer is  (A)→(Q); (B)→(P); (C)→(S); (D)→(T).

Therefore, locus of u is perpendicular bisector of line segment joining 0 and 1, so maximum arg u approaches π/2 but will not attain.