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Ask QuestionPosted by Last Bencher 6 years, 10 months ago
- 2 answers
Gaurav Seth 6 years, 10 months ago
let a = first term and d=common difference.
According to question,
7a7 = 11 a11
=>7(a+6d) = 11(a+10d)
=> 7a-11a = 110d-42d
=> -4a = 68d
=>a = -17d ......(1)
Now , a18 = a +17d
but a = -17 d ..by (1)
so put this value , we get,
a18=-17d +17d =0
Hence proved.
Posted by Riya Rao 6 years, 10 months ago
- 1 answers
Gaurav Seth 6 years, 10 months ago
The following table gives production yield per hectare of wheat of 100 farms of a village.
|
Production yield |
50 - 55 |
55 - 60 |
60 - 65 |
65 - 70 |
70 - 75 |
75 - 80 |
|
Number of farms |
2 |
8 |
12 |
24 |
38 |
16 |
We can obtain cumulative frequency distribution of more than type as following:
|
Production yield (lower class limits) |
Cumulative frequency |
|
More than or equal to 50 |
100 |
|
More than or equal to 55 |
100 - 2 = 98 |
|
More than or equal to 60 |
98 - 8 = 90 |
|
More than or equal to 65 |
90 - 12 = 78 |
|
More than or equal to 70 |
78 - 24 = 54 |
|
More than or equal to 75 |
54 - 38 = 16 |
Now, taking lower class limits on x-axis and their respective cumulative frequencies on y-axis, we can obtain the ogive as follows.
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Ram Kushwah 6 years, 10 months ago
coordinates of mid point P
are (2+5/2,-6-3/2) or (7/2,-9/2)
If P lies on line 2x+4y+k=0 then
2x(7/2)+4x(-9/2)+k=0
7--18+k=0
k=-11
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Rajneesh Kaurav 6 years, 10 months ago
1Thank You