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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