Three Dimensional Geometry

Find a point P on the line segment AB such that P divides AB internally in the ratio 2:1 , where A ( 1 , 2 , 3 ) and B ( -8 , -5 , -3 ).

• (5 , 8/3 , 1 )

• (5 , - 8/3 , 1 )

• (5 , - 8/3 , - 1 )

• ( - 5 , - 8/3 , - 1 )

The end-points of the diagonal of a square are (1,-3,2) and (0,1,3) ,then the length of the diagonal is

• (C).    4 units

• (D).    3 units

The ratio in which the line joining (2,4,5) and (3,5,-9) is divided by the yz-plane is

• (A). 2:3

• (B). 3:2

• (C). -2:3

• (D). 4:-3

The point ( -1 , 2 , -3 ) lies in the :

• 7th Octant

• 5th Octant

• 6th Octant

• 8th Octant

Find the locus of a point P which is equidistant from two points ( 1 , 0 , 0 ) and ( -1 , 0 , 0 )

• x=0

• x=1

• x= -1

• x=2

How many faces does the shape below have?

• 2

• 4

• 6

• 8

Name this figure.

• cone

• cylinder

• rectangular prism

• triangular prism

• A
• B
• C
• D

What shape is this?

• cone

• cube

• sphere

• pyramid

How many circles are on a cylinder?

• 2

• 1

• 3

• 0