Introduction to Three Dimensional Geometry - Online Test
Q1. The plane x = 0 divides the join of ( - 2 , 3 , 4 ) in the ratio
Answer : Option A
Explaination / Solution:
No Explaination.
Q2. The direction cosines of the line joining ( 1 , - 1 , 1 ) , and ( -1 , 1 , 1 ) are
Answer : Option C
Explaination / Solution:
The direction ratio of the line joining ( x1 , y1 , z1 ) , and ( x2 , y2 , z2) = < x1-x2 , y1-y2 , z1-z2 >
The direction ratio of the line joining ( 1 , - 1 , 1 ) , and ( -1 , 1 , 1 ) = < 1+1 , -1-1 , 1-1> = < 2 , -2 , 0 >
Q3.
The line is
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. The line is
Answer : Option C
Explaination / Solution:
The line 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
Q5. Skew lines are
Answer : Option D
Explaination / Solution:
Skew lines are those lines which lie in different planes and never meet
Q6. The locus of the equation xy + yz = 0 is
Answer : Option D
Explaination / Solution:
No Explaination.
Q7. The number of spheres of a given radius r and touching the coordinate axes is
Answer : Option A
Explaination / Solution:
No Explaination.
Q8. The equation 
Answer : Option A
Explaination / Solution:
The equation 
represent X- axis
represent X- axis x= , y= 0 ,z= 0 this is a general point on X axis , So given equation represent X axis
Q9. The equation 
represents
represents
Answer : Option C
Explaination / Solution:
The equation 
represents the plane z=0 as the equation can be written as 
represents the plane z=0 as the equation can be written as In this z-coordinate is zero .So , this represent XY plane i.e. the plane Z=0
Q10. The distance between the planes 
Answer : Option B
Explaination / Solution:
No Explaination.
