IIT-JEE Exam

If x, y, z are in A.P. and tan–1x, tan–1 y and tan–1 z
are also in A.P., then -
(1) 6x = 3y = 2z (2) 6x = 4y = 3z
(3) x = y = z (4) 2x = 3y = 6z

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IIT-JEE Other Question

If the vectors
→
AB = 3iˆ + 4kˆ and
→
AC = 5iˆ – 2 jˆ
+ 4kˆ are the sides of a triangle ABC, then the
length of the median through A is
Distance between two parallel planes 2x + y + 2z = 8
and 4x + 2y + 4z + 5 = 0 is -