समूह 'ग' (Group 'C C(4,4) र D(8, 6) चार बिन्दुहरू भए प्रमाणित C(4,4) and D(8, 6) are four points then pr 1 + sin a tan a + sec a - 1 nat): tan a - sec a + 1 COS a 1. पहिला ओट 5 TTPCAT
Answers
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.
Speed of car in first 15 minutes = 40 km/h
Distance covered = speed × Time taken
60 minutes = 1 hour
15 minutes = 6015 hour
Distance covered = 240×6015=10km
Speed of car in next 15 minutes = 60 km/h
Distance covered = 60×6015=15km
∴ Total distance covered = (10+15)km = 25 km
∴ 25 km is correct