All India Engineering / Architecture Entrance Examination (AIEEE)

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AIEEE 2010 Mathematics

Q. 18.

  1. –1
  2. 1
  3. 2
  4. 2

Sol : 

Answer: (2)

Q 19. The number of complex numbers z such that equals.

  1. 1
  2. 2
  3. 0

Sol :

Only one solution and that is circumcentre of triangle formed by (1, 0), (0, 1) and (–1, 0).

Answer: (1)

Q. 20. A line AB in three-dimensional space makes angles 45° and 120° with the positive x-axis and the
positive y-axis respectively. If AB makes an acute angle  with the positive z-axis, then  equals

Sol :

Answer: (2)