Processing math: 100%

CBSE Questions for Class 11 Engineering Maths Introduction To Three Dimensional Geometry Quiz 6 - MCQExams.com

Let the distance between vectors are given as follows :
(i)4i+3j6k,2i+jk  be k
(ii)2i+3j+5k,7ik  be  mn
Find k(mn) ?
  • 20
  • 21
  • 22
  • 23
A,B,C are three points on the axes of x,y and z respectively at distance a,b,c from the origin O; then the co - ordinates of the point which is equidistant from A,B,C and O is
  • (a,b,c)
  • (a2,b2,c2)
  • (a3,b3,c3)
  • None of these
If the centroid of the tetrahedron OABC, where A,B,C are given by (α,5,6),(1,β,4),(3,2,γ) respectively be 1,1,2, then value of α2+β2+γ2 equals
  • α2+β2
  • γ2+β2
  • α2+γ2
  • None of these
Perimeter of triangle whose vertices are (0,4,0),(3,4,0) and (0,4,4), is
  • 10
  • 12
  • 25
  • 15
If P(x,y,z) is a point on the line segment joining A(2,2,4) and B(3,5,6) such that projection of OP on axes are 135,195,265 respectively, then P divide AB in the ratio
  • 3:2
  • 2:3
  • 1:2
  • 1:3
Find the ratio in which the yz-plane divides the join of the points (2,4,7) and (3,5,8) and also find the co-ordinates of the point of intersection of this line with the yz - plane.
  • λ=23 and (0,25,375)
  • λ=13 and (34,74,294)
  • λ=23 and (34,74,294)
  • λ=13 and (0,25,375)

Find the distance between the points whose position vectors are given as follows

2ˆi+3ˆj+5ˆk,7ˆiˆk

  • 314
  • 54
  • 319
  • 57
The points A(5,1,1),B(7,4,7),C(1,6,10) and D(1,3,4) are the vertices of a
  • Parallelogram
  • Rectangle
  • Rhombus
  • Square
If P(x,y,z) is a point on the line segment joining Q(2,2,4) and R(3,5,6) such that the projection of ¯OP on the axes are 135,195,265, respectively, then P divides QR in the ratio
  • 1:2
  • 3:2
  • 2:3
  • 1:3
Find the distance between the points whose position vectors are given as follows
(1,1,3),(0,5,6)
  • 118
  • 8
  • 26
  • none of these
The plane XOZ divides the join of (1,1,5) and (2,3,4) in the ratio λ:1, then λ is -
  • 3
  • 1/3
  • 3
  • 1/3
Find the distance between the pairs of points whose cartesian coordinates are (2,3,1),(2,6,2).
  • 32.
  • 23.
  • 52.
  • 25.
Find the distance between the points whose position vectors are given as follows
4ˆi+3ˆj6ˆk,2ˆi+ˆjˆk
  • 65
  • 69
  • 13
  • none of these
Find the point which divides the lines joining A(2,3,5) and B(6,5,8) in the ratio 2:3 externally
  • (18,1,1)
  • (12,1,1)
  • (3,4,4)
  • (5,8,11)
The ordinate of the point which divides the lines joining the origin and the point (1,2) externally in the ratio of 3:2 is
  • 2
  • 35
  • 25
  • 6
Find the ratio in which (the plane) 2x+3y+5z=1 divides the line joining the points (1,0,3) and (1,5,7).
  • 1:2
  • 2:3
  • 3:1
  • None of these
A hall has dimensions 24m×8m×6m. The length of the longest pole which can be accommodated in the hall is
  • 26 m
  • 28 m
  • 30 m
  • 36 m
The coordinates of a point which divides the line joining the points P(2,3,1) and Q(5,0,4) in the ratio 1:2 are
  • (73,1,53)
  • (4,1,3)
  • (3,2,2)
  • (1,1,1)
In ABC the mid points of the sides AB,BC and CA are respectively (l,0,0),(0,m,0) and (0,0,n). Then, AB2+BC2+CA2l2+m2+n2 is equal to
  • 2
  • 4
  • 8
  • 16
The distance of the point (1,−2,4) from the plane passing through the point (1,2,2) and perpendicular to the planes xy+2z=3 and 2x2y+z+12=0 is :
  • 22
  • 4
  • 2
  • 23
The coordinates of any point, which lies in yz plane, are
  • (x,y,y)
  • (0,y,y)
  • (0,y,x)
  • (x,y,z)
The point (3,0,4) lies on the
  • Y-axis
  • Z-axis
  • XY-plane
  • XZ-plane
  • YZ-plane
What is the length of the segment in the x-y plane with end points at (2,2) and (2,3)?
  • 3
  • 31
  • 41
  • 7
  • 9
If the line joining A(1,3,4) and B is divided by the point (2,3,5) in the ratio 1:3, then B is
  • (11,3,8)
  • (11,3,8)
  • (8,12,20)
  • (13,6,13)
Graph x2+y2=4 in 3D looks like
  • Circle
  • Cylinder
  • Hemisphere
  • Sphere
An equation of sphere with centre at origin and radius r can be represented as
  • x2+y2+z2=r
  • x2+y2+z2=r2
  • x2+y2+z2=2r2
  • None of the above
Point D has coordinates as (3,4,5)Referring to the given figure, find the coordinates of point E.
505625.png
  • (0,4,3)
  • (0,4,5)
  • (0,5,4)
  • (0,3,4)
The ratio in which the line joining (2,4,3) and (4,5,6) is divided by the plane 3x+2y+z4=0 is
  • 2:1
  • 4:3
  • 1:4
  • 2:3
Calculate the distance between the points (3,6,7) and (2,1,4) in 3D space.
  • 4.36
  • 5.92
  • 7.91
  • 9.11
  • 22.25
If the distance between the points (7,1,3) and (4,5,λ) is 13 units, then what is one of the values of λ?
  • 20
  • 10
  • 9
  • 8
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Class 11 Engineering Maths Quiz Questions and Answers