Introduction to Three Dimensional Geometry Test

Result

Introduction to Three Dimensional Geometry Test - 6

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Question 1
1 / -0

The equations of y axis are

A
y = 0 , z = 0

B
x = 0 , y = 0 , z = 0

C
x = 0 , z = 0

D
x = 0 , y = 0

Solution

Since on Y axis x and z coordinate are 0 .

So , Equations of Y axis are X=0 and Z=0
Question 2
1 / -0

There is one and only one sphere through

A
3 points not lie in the same line

B
4 points not lie in the same straight line

C
4 points not in the same plane

D
none of these

Solution

Yes , it is true because if we assume 2 sphere or more than that they wil coincide
Question 3
1 / -0

Three planes x + y = 0 , y + z = 0 , and x + z = 0

A
meet in a unique point

B
meet in a line

C
meet taken two at a time in parallel lines

D
none of these

Solution

x + y = 0 (1)

y + z = 0 (2)

x + z = 0 (3)

Subtracting 1 and 2 we get x-z=0 (4)

adding 3 and 4 we get x-0,y=0 and z=0