CBSE  /  Class 11  /  Maths  /  Introduction to Three Dimensional Geometry

  • 1. 
    The cartesian equation of the line is 3x + 1 = 6y – 2 = 1 – z then its direction ratio are

  • 1/3, 1/6, 1
  • -1/3, 1/6, 1
  • 1/3, -1/6, 1
  • 1/3, 1/6, -1

  • 2. 
    The image of the point P(1, 3, 4) in the plane 2x – y + z = 0 is

  • (-3, 5, 2)
  • (3, 5, 2)
  • (3, -5, 2)
  • (3, 5, -2)

  • 3. 
    Three planes x + y = 0, y + z = 0, and x + z = 0

  • none of these
  • meet in a line
  • meet in a unique point
  • meet taken two at a time in parallel lines

  • 4. 
    The coordinate of foot of perpendicular drawn from the point A(1, 0, 3) to the join of the point B(4, 7, 1) and C(3, 5, 3) are

  • (5/3, 7/3, 17/3)
  • (5, 7, 17)
  • (5/3, -7/3, 17/3)
  • (5/7, -7/3, -17/3)

  • 5. 
    The locus of a point which moves so that the difference of the squares of its distances from two given points is constant, is a

  • Straight line
  • Plane
  • Sphere
  • None of these

  • 6. 
    The equation of the set of point P, the sum of whose distance from A(4, 0, 0) and B(-4, 0, 0) is equal to 10 is

  • 9x² + 25y² + 25z² + 225 = 0
  • 9x² + 25y² + 25z² – 225 = 0
  • 9x² + 25y² – 25z² – 225 = 0
  • 9x² – 25y² – 25z² – 225 = 0

  • 7. 
    The maximum distance between points (3sin θ, 0, 0) and (4cos θ, 0, 0) is

  • 3
  • 4
  • 5
  • Can not be find

  • 8. 
    A vector r is equally inclined with the coordinate axes. If the tip of r is in the positive octant and |r| = 6, then r is

  • 2√3(i – j + k)
  • 2√3(-i + j + k)
  • 2√3(i + j – k)
  • 2√3(i + j + k)

  • 9. 
    The plane 2x – (1 + a)y + 3az = 0 passes through the intersection of the planes

  • 2x – y = 0 and y + 3z = 0
  • 2x – y = 0 and y – 3z = 0
  • 2x + 3z = 0 and y = 0
  • 2x – 3z = 0 and y = 0

  • 10. 
    If the end points of a diagonal of a square are (1, -2, 3) and (2, -3, 5) then the length of the side of square is

  • √3 unit
  • 2√3 unit
  • 3√3 unit
  • 4√3 unit
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