class 11 introduction to 3D geometry

Name the octant in which the point (5,2,-3) lies

• 1 st octant

• 5th octant

• 7th octant

• 4th octant

the point (4,-3,-6) lies in which octant

• 8th octant

• 6th octant

• 2nd octant

• 4th octant

the point (2,0,8) lies in which plane

• XY plane

• YZ plane

• XZ plane

• none of the above

the point (2,0,8) lies in which plane

• XY plane

• YZ plane

• XZ plane

• none of the above

A point is in XZ plane. what is the value of its y coordinate

• 1

• Zero

• 2

• 5

the distance of the point (a,b,c) from the origin is

• $a\times b\times c$

• $\sqrt{a+b+c}$

• $\left|a+b+c\right|$

• $\sqrt{a^2+b^2+c^2}$

Find the third vertex of triangle whose centroid is origin and two vertices are (2,4,6) and (0, -2, -5)

• (2,4,-2)

• (-2,-2,1)

• (-2-,2,-1)

• (6,3,5)

The YZ – plane divides the line segment joining the points (2, 3, 4) and (3, 5, – 4) in the ratio

• 2 : 3 internally

• 1 : 2

• 2 : 3 externally

• 1 : 3

Coordinate of a point on Z – axis, equidistant from the points (1, 5, 7) and (5, 1, – 4) is

• 
  

  $\left(0,0,\frac{3}{2}\right)$
  

• $\left(0,\frac{3}{2},0\right)$

• $\left(\frac{3}{2\ },0,0\right)$

• (4,-4,11)

The perpendicular distance of point P(x, y, z) from YZ – plane is

• x

• y

• z

• $\sqrt{x^2+y^2+z^2}$