Multiple Choice Questions(1 + sin α) (1 + sin β) (1 + sin γ) = (1 - sin α) (1 - sin β) (1 - sin γ), then each side is equal to
A.
Let (1 + sin α) (1 + sin β) (1 + sin γ) = (1 - sin α) (1 - sin β) (1 - sin γ) = x.
∴ x. x = (1 + sin α) (1 + sin β) (1 + sin γ) (1 - sin α) (1 - sin β) (1 - sin γ)
x2 = (1 - sin2α) (1 - sin2β) (1 - sin2γ)
x2 = cos2α . cos2β . cos2γ
One of the four angles of a rhombus is 60°. If the length of each side of the rhombus is 8 cm, then the length of the longer diagonal is
8√3 cm
8 cm
4√3 cm
8 /√3 cm
If the arcs of square length in two circles subtend angles of 60° and 75° at their centres, the ratio of their radii is
3 : 4
4 : 5
5 : 4
3 : 5
Study the above bar graph showing the production of food grains (in million tonne).
What is the ratio between the maximum production and the minimum production during the given period?
1 : 2
2 : 3
3 : 4
5 : 2
Study the following histogram and answer the following questions.
The total number of students involved in the data is
33
32
43
42
Study the following histogram and answer the following questions.
The maximum number of students got the marks in the interval of
10 - 20
20 - 30
30 - 40
40 - 50
Study the following histogram and answer the following questions.
The least number of students got the marks in the interval
40 - 50
20 - 30
10 - 20
0 - 10
Study the following histogram and answer the following questions.
The ratio of the students obtaining marks in the first and the last interval is
5 : 4
6 : 5
4 : 5
3 : 4
Study the following histogram and answer the following questions.
The difference in the amount estimated by the family on interior decoration and architect's fees is
₹ 10000
₹ 9500
₹ 7200
₹ 9600
In a certain country, allocations to various sectors of the yearly budget per ₹ 1000 crore are represented by the pie-diagram. The expenditure (in ₹) on Agriculture is
250 crore
150 crore
300 crore
200 crore
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