MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Slope of a Line

Construct set...

Question

Construct sets of $4$ and $5$ vectors that have $8$ and $10$ maximal subsets respectively

Open in App

Solution

For $n = 4$ , consider a convex quadrilateral ABCD in which $A B = B C = A C = B D$ and $A D = D C$ , and take the vectors $\to A B, \to B C, \to C D, \to D A$ . For $n = 5$ , take the vectors $\to A B, \to B C, \to C D, \to D E, \to E A$ for any regular pentagon ABCDE.

Suggest Corrections

thumbs-up

0

Similar questions

Q. Show that for any set V consisting of

n \geq 1

vectors, the number of maximal subsets is less than or equal to

2 n

A

B

be two sets containing

5

2

elements respectively. Then the number of subsets of

A \times B

each having atlest

8

A

B

be two sets containing

2

4

elements respectively. The number of subsets of

A \times B

3

and more elements is

A

B

be two sets containing

2

4

elements respectively. The number of subsets of

A \times B

3

or more elements is:

A

B

be two sets containing 4 and 2 elements respectively. Then the number of subsets of the set

A \times B

, each having at least three elements is

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Slope of Line

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Slope of a Line

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon