All India Engineering / Architecture Entrance Examination (AIEEE)

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AIEEE 2007 Mathematics

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Q.29. If (2, 3, 5) is one end of a diameter of the sphere then the coordinates of the other end of the diameter are

  1. (4, 9, - 3)
  2. (4, - 3, 3)
  3. (4, 3, 5)
  4. (4, 3, - 3)

Sol: Centre (3, 6, 1)
Let other end is

Correct choice: (1)

Q. 30.

  1. 0
  2. 1
  3. – 4
  4. – 2

Sol:

Correct choice: (4)

Q. 31. Let A (h, k), B (1, 1) and C (2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which ‘k’ can take is given by

Sol:

Correct choice: (3)

Q. 32. be three points. The equation of the bisector of the angle PQR is

Sol:

Correct choice: (1)

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