Answer :

(a) – (iii), (b) – (i), (c) – (ii), (d) – (vi), (e) – (iv),


(f) – (v), (g) – (viii), (h) – (vii), (i) – (x), (j) – (ix)


Explanation:


a) In xy - plane all points lie on it. So distance from xy plane remains 0.


we can say that z-coordinate is 0


b) Point (2,3,4) has all coordinates positive. So it implies that the point lies in the 1st octant.


c) If x – coordinate of a point is zero. This means that its distance from yz plane is zero or we can say that point lies on yz plane.


Locus of point having x coordinate 0 is yz plane


d) For a line to be parallel to x-axis , it must remain parallel to xz and xy plane. As they remain parallel to these plane, all points on the line has a fixed or equal y and z coordinate.


e) x = 0 and y = 0 is the locus of z-axis.


They represent z – axis.


f) As all points on the plane z = c has fixed z coordinate or we can say that they are at a constant distance from xy plane.


z = c is a plane parallel to xy plane.


g) The plane x = a is parallel to yz-plane.


Plane y = b is parallel to xz-plane.


So, planes x = a and y = b gives the set of coordinates that satisfies both the equation of plane.


It means these points are the point of intersection of these plane and these points constitute a line called line of intersection of planes


Now, line of intersection of yz-plane and xz-plane is z-axis.


x = a and y = b are planes parallel to yz and xz. So their line of intersection will be parallel to z-axis.


h) By basic definition of coordinates we know that coordinates of a point are the distances from the origin to the feet of perpendicular from the point on the respective axis.


(i) A ball is the solid region in the space enclosed by a sphere.


(j) The region in the plane enclosed by a circle is known as a disc.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

What is the locusRD Sharma - Mathematics

the coordinates oRD Sharma - Mathematics

The coordinates oRD Sharma - Mathematics

The perpendicularRD Sharma - Mathematics

Fill in the blankMathematics - Exemplar

Equation of y-axiMathematics - Exemplar

x-axis is the intMathematics - Exemplar

Fill in the blankMathematics - Exemplar

The locus of a poMathematics - Exemplar

Fill in the blankMathematics - Exemplar