Three Dimensional Geometry Test

Result

Three Dimensional Geometry Test - 31

Score
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Weekly Quiz Competition

Question 1
4 / -1

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

A

B

C

D
None of these

Solution
Question 2
4 / -1

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

A
A rectangle

B
A square

C
A parallelogram

D
None of these

Solution
Question 3
4 / -1

A

B

C

D

Solution
Question 4
4 / -1

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

A
cos 2α + cos 2β + cos 2γ – 1 = 0

B
cos 2α + cos 2β + cos 2γ – 2 = 0

C
cos 2α + cos 2β + cos 2γ + 1= 0

D
cos 2α + cos 2β + cos 2γ + 2 = 0

Solution
Question 5
4 / -1

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

A

B

C

D
Question 6
4 / -1

A

B

C

D
None of these

Solution
Question 7
4 / -1

The points A(5, – 1, 1); B(7, – 4, 7); C(1, – 6,10) and D(–1, – 3, 4) are vertices of a

A
Square

B
Rhombus

C
Rectangle

D
None of these

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

The plane XOZ divides the join of (1, – 1, 5) and (2, 3, 4) in the ratio λ : 1, then λ is

A
–3

B
3

C

D

Solution
Question 10
4 / -1

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

A
(1, 2, 2)

B
(–1, 2, –2)

C
(–3, 6, –9)

D
(–1/3, 2/3, –2/3)

Solution