it's must urgent please help points of quadrilateral (4,-1)(6,0)(7,2)(5,1)...
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Answer:
Rajatarangini ('Flow of Kings') is a historical chronicle of early India, written in Sanskrit verse by the Kashmiri Brahmin Kalhana in 1148, and is justifiably considered to be the best and most authentic work of its kind.
Step-by-step explanation:
Let the given points be A, B, C and D respectively. Then,Coordinates of the mid-point of Ac are(
2
4+7
,
2
−1+2
)=(
2
11
,
2
1
)Coordinates of the mid-point of BD are (
2
6+5
,
2
0+1
)=(
2
11
,
2
1
)Thus, AC and BD have the same mid-point.
Hence, ABCD is a parallelogram.
Now,AB=
(6−4)
2
+(0+1)
2
=
5
,BC=
(7−6)
2
+(2−0)
2
=
5
∴AB=BCSo, ABCD is a parallelogram whose adjacent sides are equal.Hence,ABCD is a rhombus.
We have,AC=
(7−4)
2
+(2+1)
2
=3
2
,and,BD=
(6−5)
2
+(0−1)
2
=
2
Clearly, AC
=BD.So, ABCD is not a square.