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  • Match each item given under the column C1 to its correct answer given under column C2. Column C1 a. In xy-plane Column C2 (i) 1st octant

 Match each item given under the column C1 to its correct answer given under column C2.

Column C,

Column C2

(a)

In xy-plane

(i)

1st octant

(b)

Point (2, 3,4) lies in the

(ii)

vz-plane

(c)

Locus of the points having x coordinate 0 is

(iii)

z-coordinate is zero

(d)

A line is parallel to x-axis if and only

(iv)

z-axis                      .

(e)

If x = 0, y = 0 taken together will represent the

(v)

plane parallel to xy-plane

(f)

z = c represent the plane

(vi)

if all the points on the line have equal y and z-coordinates.

(g)

Planes x = a, y = b represent the line

(vii)

from the point on the respective axis.

00

Coordinates of a point are the distances from the origin to the feet of perpendiculars

(viii)

parallel to z-axis

(i)

A ball is the solid region in the space

(ix)

disc

G)

Region in the plane enclosed by a circle is known as a

(x)

sphere

Answers (1)

Solution:

(a) → (iii)

In xy-plane, z = 0.

(b)→(i)

Point (2,3,4) lies in the first octant.

(c) → (ii)

Yz-plane is the locus of points having, x = 0

(d) → (vi)

Only if all the points on a line have equal y & z co-ordinates, the line will be parallel to x-axis.

(e) → (iv)

z-axis is represented by x = y = 0.

(f) → (v)

Plane parallel to xy-plane is represented by z = c.

(g) → (viii)

Planes x = a & y = b is a line of intersection of these planes, since x = a is parallel to yz-plane & y = b is parallel to xz-plane.

z-axis is the line of intersection of yz & xz planes.

Thus, the line of intersection is parallel to z-axis.

(h) → (vii)

The coordinate of a point can be defined as the distance from the origin to the feet of perpendicular from the point on their respective axis.

  1. → (x)

A ball can be said the solid region in the space enclosed by the sphere.

(j) → (ix)

A disc is the region in a plane enclosed by a circle. 

Posted by

infoexpert22

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