Maths-
General
Easy
Question
If is a set with 10 elements and
, then the number of elements in A is
- 100
- 90
- 50
- 45
The correct answer is: 90
Number of element is ![S equals 10 text and end text A equals left curly bracket left parenthesis x comma y right parenthesis semicolon x comma y element of S comma x not equal to y right curly bracket](data:image/png;base64,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)
Number of element in ![A equals 10 cross times 9 equals 90](data:image/png;base64,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)
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and reflected ray ![O P](data:image/png;base64,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)
![](data:image/png;base64,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)
In the adjacent diagram,
represents a wavefront and
and
, the corresponding two rays. Find the condition on
for constructive interference at P between the ray
and reflected ray ![O P](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
chemistry-
Select the rate law that correspond to the data shown for the following reaction.
![](data:image/png;base64,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)
Select the rate law that correspond to the data shown for the following reaction.
![](data:image/png;base64,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)
chemistry-General