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Introduction to Three Dimensional Geometry — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSIntroduction to Three Dimensional Geometry5 Marks
Question
Match each item given under the column C1 to its correct answer given under column C2.
Column C1
Column C2
a.
In xy-plane.
i.
Ist octant.
b.
Point (2, 3, 4) lies in the.
ii.
yz-plane.
c.
Locus of the points having x coordinate 0 is.
iii.
z-coordinate is zero.
d.
A line is parallel to x-axis if and only.
iv.
z-axis.
e.
If x = 0, y = 0 taken together will represent the.
v.
plane parallel to xy-plane.
f.
z = c represent the plane.
vi.
if all the points on the line have equal y and z-coordinates.
g.
Planes x = a, y = b represent the line.
vii.
from the point on the respective.
h.
Coordinates of a point are the distances from the origin to the feet of perpendiculars.
viii.
parallel to z-axis.
i.
A ball is the solid region in the space enclosed by a.
ix
disc.
j.
Region in the plane enclosed by a circle is known as a.
x.
sphere.
✓

Answer

 
Column C1
 
Column C2
a.
In xy-plane.
iii.
z-coordinate is zero.
b.
Point (2, 3, 4) lies in the.
i.
1st octant.
c.
Locus of the points having x coordinate 0 is.
ii.
yz-plane.
d.
A line is parallel to x-axis if and only.
vi.
If all the points on the line have equal y and z-coordinates.
e.
If x = 0, y = 0 taken together will represent the.
iv.
z-axis.
f.
z = c represent the plane.
v.
Plane parallel to xy-plane.
g.
Planes x = a, y = b represent the line.
viii.
Parallel to z-axis.
h.
Coordinates of a point are the distances from the origin to the feet of perpendiculars.
vii.
From the point on the respective.
i.
A ball is the solid region in the space enclosed by a.
x
Sphere.
j.
Region in the plane enclosed by a circle is known as a.
ix.
Disc.
  1. In xy-plane, z-coordinate is zero.
  2. The point (2, 3, 4) lies in 1st octant.
  3. Locus of the points having x-coordinate zero is yz-plane.
  4. A line is parallel to x-axis if and only if all the points on the line have equal y and z-coordinates.
  5. x = 0, y = 0 represent z-axis
  6. z = c represents the plane parallel to xy-plane.

  1. The plane x = a is parallel to yz-plane.

Plane y = b is parallel to xz-plane. So, planes x = a and y = b is line of intersection of these planes. Now, line of intersection of yz-plane and xz-plane is z-axis. So, line of intersection of planes x = a andy = b is line parallel to z-axis.

  1. Coordinates of a point are the distances from the origin to the feet of perpendicular from the point on the respective axis.
  2. A ball is the solid region in the space enclosed by a sphere.
  3. The region in the plane enclosed by a circle is known as a disc.

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