CBSE  /  Class 12  /  Maths  /  Three Dimensional Geometry

  • 1. 
    The sine of the angle between the straight line \(\frac{x-2}{3}\) = \(\frac{y-3}{4}\) = \(\frac{z-4}{5}\) and the plane 2x – 2y + z = 5 is

  • \(\frac{10}{6√5}\)
  • \(\frac{4}{5√2}\)
  • \(\frac{2√3}{5}\)
  • \(\sqrt{\frac{√2}{10}}\)

  • 2. 
    The reflection of the point (a, β, γ) in the xy-plane is

  • (α, β, 0)
  • (0, 0, γ)
  • (- α, – β, γ)
  • (α, β, γ)

  • 3. 
    The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2, 6, 2) is equal to

  • 9 sq. units
  • 18 sq. units
  • 27 sq. units
  • 81 sq. units

  • 4. 
    The plane 2x – 3y + 6z – 11 = 0 makes an angle sin

  • \(\frac{√3}{2}\)
  • \(\frac{√2}{3}\)
  • \(\frac{2}{7}\)
  • \(\frac{3}{7}\)

  • 5. 
    The cosines of the angle between any two diagonals of a cube is

  • \(\frac{1}{3}\)
  • \(\frac{1}{2}\)
  • \(\frac{2}{3}\)
  • \(\frac{1}{√3}\)
Report Question
warning
Practice More On Three Dimensional Geometry
Quiz 1 Quiz 2 Quiz 3 Quiz 4
access_time
  Time