Introduction to Three Dimensional Geometry Test

Result

Introduction to Three Dimensional Geometry Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

The locus of a first degree equation in x, y, z is a

A
sphere

B
straight line

C
plane

D
none of these

Solution

first degree equation in x, y, z can be written in the form Ax+By+Cz+d=0 Which represent a plane Where A,B and C are the direction ratios of normal to the plane
Question 2
1 / -0

The number of spheres of a given radius which touch the coordinate planes is

A
1

B
2

C
8

D
4

Solution

Since the coordinate system is divided into 8 regions ,therefore no of spheres which can touch coordinate planes is
Question 3
1 / -0

The plane XOZ divides the join of ( 1 , -1 , 5 ) and ( 2 , 3 ,4 ) in the ratio k : 1 , then the value of k is

A
1/ 3

B
- 1/ 3

C
3

D
- 3

Solution

since XOZ plane is given y coordinate must be zero

k x 3 +1 x( -1) / k+1 =0

3k -1 = 0

k=1/3