Introduction to Three Dimensional Geometry Test

Result

Introduction to Three Dimensional Geometry Test - 4

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Question 1
1 / -0

The line x=x₁,y=y₁ is

A
parallel to x axis

B
parallel to y axis

C
parallel to z axis

D
none of these

Solution

The line x=x₁,y=y₁ is parallel to Z- axis as here value of x and y is fixed . Here whatever be the value of z , x and y will be fixed So it represent a plane parallel to Z axis
Question 2
1 / -0

Skew lines are

A
parallel lines

B
coplanar lines

C
intersecting lines

D
none of these

Solution

Skew lines are those lines which lie in different planes and never meet
Question 3
1 / -0

The locus of the equation xy + yz = 0 is

A
a pair of perpendicular planes

B
a pair of parallel planes

C
a pair of straight lines

D
none of these

Solution

xy represents the plane through origin and perpendicular to z axis.Similarly yz represents the plane through origin and perpendicular to x axis.hence it represents pair of perpendicular lines
Question 4
1 / -0

The number of spheres of a given radius r and touching the coordinate axes is

A
4

B
8

C
6

D
none of these

Solution

Each octant will have one sphere of radius r touching axes. So there are 8 such spheres.