JEE Questions for Maths Three Dimensional Geometry Quiz 13 - MCQExams.com


Maths-Three Dimensional Geometry-53512.png

  • Maths-Three Dimensional Geometry-53513.png
  • 2)
    Maths-Three Dimensional Geometry-53514.png

  • Maths-Three Dimensional Geometry-53515.png
  • None of the above
A variable plane passes through a fixed point (a, b, c) and meets the co-ordinate axis in P, Q, R . The locus of the point of intersection of the planes through P, Q, R parallel to the co-ordinate planes is

  • Maths-Three Dimensional Geometry-53516.png
  • 2)
    Maths-Three Dimensional Geometry-53517.png

  • Maths-Three Dimensional Geometry-53518.png

  • Maths-Three Dimensional Geometry-53519.png

Maths-Three Dimensional Geometry-53521.png

  • Maths-Three Dimensional Geometry-53522.png
  • 2)
    Maths-Three Dimensional Geometry-53523.png

  • Maths-Three Dimensional Geometry-53524.png

  • Maths-Three Dimensional Geometry-53525.png
If the length of perpendicular drawn from origin on a plane is 7 units and its direction ratios are –3, 2, 6, then the plane is

  • Maths-Three Dimensional Geometry-53527.png
  • 2)
    Maths-Three Dimensional Geometry-53528.png

  • Maths-Three Dimensional Geometry-53529.png

  • Maths-Three Dimensional Geometry-53530.png

Maths-Three Dimensional Geometry-53532.png
  • 15, –5, 3
  • 1, –5, 3
  • –15, 5, –3
  • 1, –6, 20

Maths-Three Dimensional Geometry-53534.png

  • Maths-Three Dimensional Geometry-53535.png
  • 2)
    Maths-Three Dimensional Geometry-53536.png
  • –2
  • 2
If two planes intersect, then the shortest distance between the planes is
  • cos θ
  • cos 90°
  • sin 90°
  • None of these

Maths-Three Dimensional Geometry-53539.png
  • 3
  • –4
  • 5
  • None of these
If P be the point (2, 6, 3), then the equation of the plane through P at right angle to OP, O being the origin, is

  • Maths-Three Dimensional Geometry-53541.png
  • 2)
    Maths-Three Dimensional Geometry-53542.png

  • Maths-Three Dimensional Geometry-53543.png

  • Maths-Three Dimensional Geometry-53544.png
If O be the origin and the co-ordinates of P be (1, 2, –3), then the equation of the plane passing through P and perpendicular to OP is

  • Maths-Three Dimensional Geometry-53546.png
  • 2)
    Maths-Three Dimensional Geometry-53547.png

  • Maths-Three Dimensional Geometry-53548.png

  • Maths-Three Dimensional Geometry-53549.png

Maths-Three Dimensional Geometry-53551.png
  • (10, 20, –10)
  • (10, –20, 12)
  • (12, –20, 10)
  • (12, 20, –10)
The equation of a plane parallel to x-axis is

  • Maths-Three Dimensional Geometry-53553.png
  • 2)
    Maths-Three Dimensional Geometry-53554.png

  • Maths-Three Dimensional Geometry-53555.png

  • Maths-Three Dimensional Geometry-53556.png
The points A(–1, 3, 0), B(2, 2,and C (1, 1,determine a plane. The distance from the plane to the point D(5, 7,is

  • Maths-Three Dimensional Geometry-53557.png
  • 2)
    Maths-Three Dimensional Geometry-53558.png

  • Maths-Three Dimensional Geometry-53559.png

  • Maths-Three Dimensional Geometry-53560.png

Maths-Three Dimensional Geometry-53562.png
  • Points
  • Plane
  • Curves
  • Pair of straight line

Maths-Three Dimensional Geometry-53564.png
  • Cube
  • Rhombus
  • Sphere of radius p
  • Point (p, p, p)

Maths-Three Dimensional Geometry-53565.png
  • YOZ
  • Z = k
  • ZOX
  • XOY

Maths-Three Dimensional Geometry-53567.png

  • Maths-Three Dimensional Geometry-53568.png
  • 2)
    Maths-Three Dimensional Geometry-53569.png

  • Maths-Three Dimensional Geometry-53570.png

  • Maths-Three Dimensional Geometry-53571.png
The point at which the line joining the points (2, –3,and (3, –4, –intersects the plane 2x + y + z = 7 is
  • (1, 2, 7)
  • (1, –2, 7)
  • (–1, 2, 7)
  • (1, –2, –

Maths-Three Dimensional Geometry-53574.png

  • Maths-Three Dimensional Geometry-53575.png
  • 2)
    Maths-Three Dimensional Geometry-53576.png

  • Maths-Three Dimensional Geometry-53577.png

  • Maths-Three Dimensional Geometry-53578.png

Maths-Three Dimensional Geometry-53580.png
  • 8x + 14y + 13z + 37 = 0
  • 8x - 14y + 13z + 37 = 0
  • 8x + 14y -13z + 37 = 0
  • 8x + 14y + 13z - 37 = 0
  • 8x -14y -13z - 37 = 0

Maths-Three Dimensional Geometry-53582.png
  • Line is parallel to the plane
  • Line is perpendicular to the plane
  • Line lies in the plane
  • None of the above

Maths-Three Dimensional Geometry-53584.png

  • Maths-Three Dimensional Geometry-53585.png
  • 2)
    Maths-Three Dimensional Geometry-53586.png

  • Maths-Three Dimensional Geometry-53587.png

  • Maths-Three Dimensional Geometry-53588.png

Maths-Three Dimensional Geometry-53590.png
  • 4
  • –4
  • 2
  • –2

Maths-Three Dimensional Geometry-53592.png
  • (6, –
  • (–6, 7)
  • (5, –
  • (–5, 5)
The equation of the plane which bisects the line joining the points (–1, 2,and (3, –5,at right angle, is

  • Maths-Three Dimensional Geometry-53594.png
  • 2)
    Maths-Three Dimensional Geometry-53595.png

  • Maths-Three Dimensional Geometry-53596.png

  • Maths-Three Dimensional Geometry-53597.png

Maths-Three Dimensional Geometry-53599.png

  • Maths-Three Dimensional Geometry-53600.png
  • 2)
    Maths-Three Dimensional Geometry-53601.png

  • Maths-Three Dimensional Geometry-53602.png

  • Maths-Three Dimensional Geometry-53603.png

Maths-Three Dimensional Geometry-53605.png

  • Maths-Three Dimensional Geometry-53606.png
  • 2)
    Maths-Three Dimensional Geometry-53607.png

  • Maths-Three Dimensional Geometry-53608.png

  • Maths-Three Dimensional Geometry-53609.png

Maths-Three Dimensional Geometry-53611.png
  • 10
  • 11
  • 12
  • 13

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  • Maths-Three Dimensional Geometry-53614.png
  • 2)
    Maths-Three Dimensional Geometry-53615.png

  • Maths-Three Dimensional Geometry-53616.png
  • None of these
The line drawn from (4, –1,to the point (–3, 2,meets a plane at right angles at the point (–10, 5, 4), then the equation of plane is

  • Maths-Three Dimensional Geometry-53618.png
  • 2)
    Maths-Three Dimensional Geometry-53619.png

  • Maths-Three Dimensional Geometry-53620.png
  • None of these
0:0:1


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