6. If K (1.2.3.4.51 and N - {1_3.4.5) then find KAN
Answers
Answer:
Let A(1,2), B(4,y),C(x,6) and D(3,5) are the vertices of a parallelogram ABCD
.AC and BD are the diagonals .
O is the midpoint of AC and BD.
If O is the mid-point of AC ,then the coordinates of O are =(
2
1+x
,
2
2+6
)=(
2
x+1
,4)
If O is the mid-point of BD then coordinates of O are (
2
4+3
,
2
5+y
)=(
2
7
,
2
5+y
)
Since both coordinates are of the same point O
∴
2
1+x
=
2
7
⇒1+x=7
⇒x=7−1=6
∴
2
5+y
=4
⇒5+y=8
⇒y=8−5=3
Hence x=6 and y=3.
Step-by-step explanation:
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""' ❤️ Answer ❤️ """
It is given that
A=
(1,2,(3,4),5)
(i)The statement
(3,4)⊂
A
is incorrect because
3∈
(3,4)
; however,
3∈
/
A
.
(ii) The statement
(3,4)∈
A
is correct because
(3,4)
is an element of
A
.
(iii) The satement
((3,4))⊂
A
is correct because
(3,4)∈
((3,4))
and
(3,4)∈
A
.
(iv) The statement
1∈
A
is correct because
1
is an element of
A
.
(v) The statement
1⊂
A
is incorrect because an element of a set can never be a subset of itself.
(vi) The statement
(1,2,5)⊂
A
is correct because each element of
(1,2,5)
is also an element of
A
.
(vii) The statement
(1,2,5)∈
A
is incorrect because
(1,2,5)
is not an element of
A
.
(viii) The statement
(1,2,3)⊂
A
is incorrect because
3∈
(1,2,3)
; however,
3∈
/
A
.
(ix) The statement
◯∈
A
is incorrect because
◯
is not an element of
A
.
(x) The statement
◯⊂
A
is correct because
◯
is a subset of every set.
(xi) The statement
(
◯)⊂
A
is incorrect because
◯
is a subset of
A
and it is not an element of
A