JEE Questions for Maths Three Dimensional Geometry Quiz 10 - MCQExams.com

The projection of the line segment joining the points (–1, 0,and (2, 5,on the line whose direction ratios are 6, 2, 3 is

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None of these

The points (5, – 4, 2), (4, – 3, 1), (7, – 6,and (8, – 7,are the vertices of

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A rectangle
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A square
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A parallelogram
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None of these

Maths-Three Dimensional Geometry-53168.png

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2)
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If a line makes angles α, β, γ with the co-ordinate axis, then

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cos 2α + cos 2β + cos 2γ – 1 = 0
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cos 2α + cos 2β + cos 2γ – 2 = 0
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cos 2α + cos 2β + cos 2γ + 1= 0
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cos 2α + cos 2β + cos 2γ + 2 = 0

If a line makes α, β, γ, δ angles with four diagonals of a cube, then cos 2α + cos 2β + cos 2γ + cos 2δ =

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Maths-Three Dimensional Geometry-53179.png

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None of these

The points A(5, – 1, 1); B(7, – 4, 7); C(1, – 6,and D(–1, – 3,are vertices of a

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Square
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Rhombus
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Rectangle
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None of these

Maths-Three Dimensional Geometry-53185.png

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2)
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The plane XOZ divides the join of (1, – 1,and (2, 3,in the ratio λ : 1, then λ is

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–3
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3
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If O is the origin and OP = 3 with direction ratios –1, 2, –2, then co-ordinates of P are

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(1, 2, 2)
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(–1, 2, –2)
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(–3, 6, –9)
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(–1/3, 2/3, –2/3)

If x co-ordinates of a point P of line joining the points Q(2, 2,and R(5, 2, –is 4, then the z-co-ordinates of P is

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–2
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–1
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1
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2

The direction cosines of the normal to the plane x + 2y – 3z + 4 = 0 are

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If P(3, 4, 5), Q(4, 6, 3), R(–1, 2, 4), S(1, 0,then the projection of RS on PQ is

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–2 /3
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–4 / 3
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1 /2
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2

The co-ordinates of the point which divides the join of the points (2, –1,and (4, 3,in the ratio 3 : 4 internally are given by

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If α, β, γ be the angles which a line makes with the co-ordinate axis, then

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Maths-Three Dimensional Geometry-53211.png

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3, 1, –2
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2, –4, 1
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The distance between the points (1, 4,and (2, 2,is

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5
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4
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3
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2

The shortest distance of the point (a, b, c) from the x–axis is

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Maths-Three Dimensional Geometry-53221.png

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None of the above

Maths-Three Dimensional Geometry-53226.png

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5
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2
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–2
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–5

Maths-Three Dimensional Geometry-53228.png

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(–4, 1, –3)
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(4, –1, –3)
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(–4, –1, 3)
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(–4, –1, –3)

Maths-Three Dimensional Geometry-53230.png

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(–1, 0, 1)
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(1, 1, –1)
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(1, 2, –1)
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(0, 1, 0)

Maths-Three Dimensional Geometry-53232.png

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90°
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0°
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30°
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45°

Maths-Three Dimensional Geometry-53234.png

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(–1, –1, 1)
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(–1,–1,–1)
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(1, –1, –1)
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(–1, 1, –1)

Maths-Three Dimensional Geometry-53236.png

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Mutually perpendicular
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Parallel
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Coincident
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None of the above

Maths-Three Dimensional Geometry-53238.png

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4
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5
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6
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7

The equation to the straight line passing through the points (4, –5, –and (–1, 5,is

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The equation of a line passing through the point (–3, 2, –and equally inclined to the axes, are

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None of these

Maths-Three Dimensional Geometry-53249.png

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2)
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0%

Maths-Three Dimensional Geometry-53255.png

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None of the above

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