Class 11 Maths NCERT Solutions Three Dimensional Geometry

Class 11 Maths NCERT Solutions Three Dimensional Geometry

Register with Takshila Learning and get easy access to CBSE Class 11 Online classes with NCERT solutions for all the chapters in a chapter wise manner.In the following article, we are going to discuss “Three-diamensional geometry” from Class 11th Maths.

Question: What are the coordinates of a point lying in YZ plane?

Solution: Since the point is in YZ plane so its x coordinate is ‘0’.So the coordinate is of the form (0,y,z).

Question: Name the octants in which the following points lie:

(3,5,6) , (-5,-9,7) , (-3,5,8) , (-6,-8,-2)

Solution: Using thetable we have

(3,5,6) → I                      (-5,-9,7) →  III

(-3,5,8)→ II                    (-6,-8,-2)→ VII

Question: What is the locus of a point for which x= 0, y= 0?

Solution: The locus is z axis since on z axis x and y coordinates are zero.

Question: What does x = 0 and x = a represent?

Solution: x = 0 represents yz plane and x = a represents a plane parallel to yz plane at a distance of ‘a’ from origin.

Question: The intersection of two planes xy-plane and xzplaneis?

Solution: xy-plane and xzplane intersects at x axis.

Question: Let A, B, C be the feet of the perpendiculars drawn from a point P (3, 7, 5)

on the x, y and z-axes respectively. Find the coordinates of A, B, and C.

Solution: Since A is the foot of perpendicular from P on the x-axis, its y and z coordinates

are zero. The coordinates of A are (3, 0, 0). Similarly, the coordinates of B and

C are (0, 7, 0) and (0, 0, 5), respectively.

Question: Let A be the foot of the perpendicular drawn from a point (1,2,3) on xyplane. What are the coordinates of A?

Solution:  SinceA is the foot of the perpendicular of the point on xy plane so its z coordinate is zero. the coordinates of A are (1,2,0).

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