JEE Questions for Maths Three Dimensional Geometry Quiz 15 - MCQExams.com

A plane passes through a fixed point (p, q, r) and cut the axis in A, B, C. Then the locus of the centre of the sphere OABC is

  • Maths-Three Dimensional Geometry-53751.png
  • 2)
    Maths-Three Dimensional Geometry-53752.png

  • Maths-Three Dimensional Geometry-53753.png
  • None of these

Maths-Three Dimensional Geometry-53755.png
  • 2 : 3 externally
  • 2 : 3 internally
  • 1: 2 externally
  • None of these
Given two fixed points A(3, 4,and B(–1, 3, –and a variable points P(x, y, z) so that (PA)2 + (PB)2
  • Circle
  • Sphere
  • Paraboloid
  • None of these

Maths-Three Dimensional Geometry-53758.png
  • –2
  • 2
  • –1
  • 1

Maths-Three Dimensional Geometry-53760.png
  • 2
  • √2
  • 3
  • 1

Maths-Three Dimensional Geometry-53762.png
  • 2
  • √7
  • 3
  • √5

Maths-Three Dimensional Geometry-53764.png

  • Maths-Three Dimensional Geometry-53765.png
  • 2)
    Maths-Three Dimensional Geometry-53766.png

  • Maths-Three Dimensional Geometry-53767.png

  • Maths-Three Dimensional Geometry-53768.png

  • Maths-Three Dimensional Geometry-53769.png

Maths-Three Dimensional Geometry-53771.png
  • (4, 3, 5)
  • (4, 9, –3)
  • (4, 9, 3)
  • (4, 3, –3)
  • (4, 9, 5)

Maths-Three Dimensional Geometry-53773.png

  • Maths-Three Dimensional Geometry-53774.png
  • 2)
    Maths-Three Dimensional Geometry-53775.png

  • Maths-Three Dimensional Geometry-53776.png

  • Maths-Three Dimensional Geometry-53777.png
Find out the equation of a sphere that passes through the points (0, 0, 0), (a, 0, 0), (0, b,and (0, 0, c)

  • Maths-Three Dimensional Geometry-53779.png
  • 2)
    Maths-Three Dimensional Geometry-53780.png

  • Maths-Three Dimensional Geometry-53781.png

  • Maths-Three Dimensional Geometry-53782.png

Maths-Three Dimensional Geometry-53784.png
  • (1, –2, 4)
  • (2, 5, 8)
  • (–1, 3, –8)
  • (1, –3, 8)

Maths-Three Dimensional Geometry-53786.png

  • Maths-Three Dimensional Geometry-53787.png
  • 2)
    Maths-Three Dimensional Geometry-53788.png
  • 1

  • Maths-Three Dimensional Geometry-53789.png
If centroid P of the tetrahedron OABC, where A, B, C are given by (a, 2, 3), (1, b,and (2, 1, c) respectively be (1, 2, –1), then distance of P(a, b, c) from origin is equal to

  • Maths-Three Dimensional Geometry-53791.png
  • 2)
    Maths-Three Dimensional Geometry-53792.png

  • Maths-Three Dimensional Geometry-53793.png
  • None of these
If P ≡ (0, 1, 0), Q ≡ (0, 0, 1), then projection of PQ on the plane x + y + z = 3 is
  • √3
  • 3
  • √2
  • 2
If a line makes an angle of 704 with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of the z-axis is
  • π /6
  • π /3
  • π /4
  • π /2
The angle between two diagonals of a cube will be
  • None of these

  • Maths-Three Dimensional Geometry-53797.png
  • 2)
    Maths-Three Dimensional Geometry-53798.png
  • Variable

Maths-Three Dimensional Geometry-53800.png

  • Maths-Three Dimensional Geometry-53801.png
  • 2)
    Maths-Three Dimensional Geometry-53802.png

  • Maths-Three Dimensional Geometry-53803.png
  • None of these

Maths-Three Dimensional Geometry-53805.png
  • 0°
  • 30°
  • 60°
  • 90°

Maths-Three Dimensional Geometry-53807.png

  • Maths-Three Dimensional Geometry-53808.png
  • 2)
    Maths-Three Dimensional Geometry-53809.png

  • Maths-Three Dimensional Geometry-53810.png

  • Maths-Three Dimensional Geometry-53811.png

Maths-Three Dimensional Geometry-53813.png
  • 0
  • –1
  • –1/2
  • –2
The co-ordinates of the foot of perpendicular drawn point P(1, 0,to the join points A(4, 7,and
  • (5, 7, 1)
  • 2)
    Maths-Three Dimensional Geometry-53815.png

  • Maths-Three Dimensional Geometry-53816.png

  • Maths-Three Dimensional Geometry-53817.png

Maths-Three Dimensional Geometry-53819.png
  • 2/9
  • 9/2
  • 0
  • None of these
A square ABCD of diagonal 2a is folded along the diagonal AC so that the planes DAC and BAC are at right angle. The shortest distance between DC and AB is

  • Maths-Three Dimensional Geometry-53821.png
  • 2)
    Maths-Three Dimensional Geometry-53822.png

  • Maths-Three Dimensional Geometry-53823.png

  • Maths-Three Dimensional Geometry-53824.png

Maths-Three Dimensional Geometry-53826.png
  • (2a, a, 3a), (2a, a, a)
  • (3a, 2a, 3a), (a, a, a)
  • (3a, 2a, 3a), (a, a, 2a)
  • (3a, 3a, 3a), (a, a, a)

Maths-Three Dimensional Geometry-53828.png

  • Maths-Three Dimensional Geometry-53829.png
  • 2)
    Maths-Three Dimensional Geometry-53830.png

  • Maths-Three Dimensional Geometry-53831.png
  • None of these

Maths-Three Dimensional Geometry-53833.png
  • A line
  • A plane
  • A sphere
  • None of these

Maths-Three Dimensional Geometry-53835.png

  • Maths-Three Dimensional Geometry-53836.png
  • 2)
    Maths-Three Dimensional Geometry-53837.png

  • Maths-Three Dimensional Geometry-53838.png
  • None of these

Maths-Three Dimensional Geometry-53840.png

  • Maths-Three Dimensional Geometry-53841.png
  • 2)
    Maths-Three Dimensional Geometry-53842.png
  • 3
  • 4

  • Maths-Three Dimensional Geometry-53843.png
P is a fixed point (a, a, a) on a line through the origin equally inclined to the axis, then any plane through P perpendicular to OP, makes intercepts on the axis, the sum of whose reciprocals is equal to
  • a
  • 2)
    Maths-Three Dimensional Geometry-53845.png

  • Maths-Three Dimensional Geometry-53846.png
  • None of these

Maths-Three Dimensional Geometry-53848.png

  • Maths-Three Dimensional Geometry-53849.png
  • 2)
    Maths-Three Dimensional Geometry-53850.png

  • Maths-Three Dimensional Geometry-53851.png

  • Maths-Three Dimensional Geometry-53852.png
0:0:1


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