NCERT Class 11-Math's: Chapter –12 Introduction to Three Dimensional Geometry Part 12

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Question 43:

A line is parallel to plane if all the points on the line have equal ________.

Answer:

coordinates

Question 44:

A line is parallel to axis if all the points on the line have equal ________.

Answer:

Question 45:

represent a plane parallel to ________.

Answer:

plane

Question 46:

The plane parallel to plane is perpendicular to ________.

Answer:

axis

Question 47:

The length of the longest piece of a string that can be stretched straight in a rectangular room whose dimensions are 10, 13 and 8 units are ______.

Answer:

Question 48:

If the distance between the points and is , then a _______.

Answer:

or

Question 49:

If the mid-points of the sides of a triangle AB; BC; CA are ,

and , then the centriod of the triangle ABC is ________.

Answer:

Question 50:

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

Match Each Item Given under the Column
Match each item given under the column

Column

Column

(a)

In - plane

(i)

Its octant

(b)

Point lies in the

(ii)

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 taken together will represent the

(v)

Plane parallel to xy-plane

(f)

represent the plane

(vi)

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

(g)

Planes represent the line

(vii)

From the point on the respective

(h)

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 enclosed by a

(ix)

Disc

(j)

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

(x)

Sphere

Answer:

(a) ↔ (iii)

(b) ↔ (i)

(c) ↔ (ii)

(d) ↔ (vi)

(e) ↔ (iv)

(f) ↔ (v)

(g) ↔ (viii)

(h) ↔ (vii)

(i) ↔ (x)

(j) ↔ (ix)

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