JEE, NEET, Foundation & CBSE (JEE Advanced 2018

If the distance of the point (1, -2 ,1 ) from the plane x+2y -2z = α , where α > 0, is 5, then the for of the perpendicular from P to the plane is
  1. (8/4, 4/3, -7/3)
  2. (4/3, - 4/3 , 1/3)
  3. (1/3 , 2/3 , 10/3)
  4. (2/3 , -1/3 , 5/2 )
The area (in sq. units) of the region {(x, y} : x ≥ 0, x + y ≤ 3, x² ≤ 4y and y ≤ 1 + √x} is :
  1. 3/2
  2. 5/2
  3. 7/3
  4. 59/12
Two parallel chords of a cycle of radius 2 are at a distance √(3+1) part . If the chords subtend at the center , angles of π/k and 2 π/k where k>0. then value of [k] is {Note []k denotes the largest integer less than or equal to k ]
  1. 3
  2. 2 √3
  3. (2 √3+1)k
  4. None of these
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