Three Dimensional Geometry Test

Result

Three Dimensional Geometry Test - 29

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
4 / -1

Direction ratios of the normal to the plane passing through the points (0, 1, 1), (1, 1, 2) and (–1, 2, – 2) are

A
(1, 1, 1)

B
(2, 1,–1)

C
(1, 2, –1)

D
(1,–2,–1)

Solution
Question 2
4 / -1

If the length of a vector be 21 and direction ratios be 2, – 3, 6 then its direction cosines are

A

B

C

D
None of these

Solution
Question 3
4 / -1

If the co-ordinates of the points P, Q, R, S be (1, 2, 3), (4, 5, 7), (–4, 3, – 6) and (2, 0, 2) respectively, then

A

B

C
PQ = RS

D
None of these

Solution
Question 4
4 / -1

The shortest distances of the point (1, 2, 3) from the axis x, y and z respectively are

A
1, 2, 3

B

C

D

Solution
Question 5
4 / -1

If the co-ordinates of the points P and Q be (1, – 2, 1) and (2, 3, 4) and O be the origin, then

A

B

C

D
None of these

Solution
Question 6
4 / -1

The number of straight lines that are equally inclined to the three dimensional co-ordinate axis, is

A
2

B
4

C
6

D
8

Solution
Question 7
4 / -1

If θ is the angle between the lines AB and CD, then projection of line segment AB on line CD, is

A
AB sin θ

B
AB cos θ

C
AB tan θ

D
CD cos θ
Question 8
4 / -1

If A(1, 2, – 1) and B(–1, 0, 1) are given, then the co-ordinates of P which divides AB externally in the ratio 1: 2 are

A

B

C

D
None of these

Solution
Question 9
4 / -1

The point of intersection of the line joining the points (3, 4, 1) and (5, 1, 6) and the xy–plane is

A

B

C

D

Solution
Question 10
4 / -1

If the co-ordinates of A and B be (1, 2, 3) and (7, 8, 7), then the projections of the line segment AB on the co-ordinate axis are

A
6, 6, 4

B
4, 6, 4

C
3, 3, 2

D
2, 3, 2

Solution