Maths-
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Easy
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The correct answer is: ![2 over pi](data:image/png;base64,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)
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Maths-
In ![straight capital delta A B C comma a squared cot invisible function application A plus b squared cot invisible function application B plus C squared cot invisible function application C equals](data:image/png;base64,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)
In ![straight capital delta A B C comma a squared cot invisible function application A plus b squared cot invisible function application B plus C squared cot invisible function application C equals](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
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Maths-General
Maths-
In ![straight triangle A B C comma cot invisible function application A over 2 plus cot invisible function application B over 2 plus cot invisible function application C over 2 equals](data:image/png;base64,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)
In ![straight triangle A B C comma cot invisible function application A over 2 plus cot invisible function application B over 2 plus cot invisible function application C over 2 equals](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Maths-
Maths-General
Maths-
In
, cot ![A plus cot invisible function application B plus cot invisible function application C equals](data:image/png;base64,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)
In
, cot ![A plus cot invisible function application B plus cot invisible function application C equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIUAAAANCAYAAACHOa2JAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAk9JREFUeNrtmEFEREEYx58nK0l0SLISSZKkS5Ik0SHJypIkSaJDh3SIdOqQLumQdElWOiSSJN3SIR0SyUqS6NAxsZJkJbb/6J/GmH373tp57Ut/ftabee/N+2a/75tvxrKcNWX9DSXBB3gA9+AAVATYnmqwCOLgjXbNg1LTAw+Ad1CQ5xOUyNBfw8mTJSZwI4C2CE2DQ9AObLZVMoCN2iQ87gocgT6Pz6Z8nshM44nv31Laopq2INgyA9Z/y2PXwCAYAasGnaINnDC9ixQ4rPT3ghtmLPEb0Ywlo9McJ1PWJugOmC21XPp+JXO3Mj0JlfNDTDhFE3hiJNs0Wo7eFo7dwOsGXrd6HG9HGkOMGfNQK+WTLUtZ1ngpFzhKeOEF16hvXYI6A06xCyYz9Pdqom3f43h3kvGvLjNEPtpyw/rId82xkJG1ACYMeOILKHF4r+gPKW0htrudSJuO8P1sFzhjJAfJFpvLku+qY1ZQ1cEtXK6jK5Vl/7uH94i0fay0DXE7FyRbdA7ky/Jx6vCQl62p24l88iFTDLKGkDXsoYLPJ1tExivyM0uMg2WH/m3Qk+OJXHexDkc028s9TbTZad6xAkaVthidJWi2xDRLuzFV8Eyi2OGesQxOk81EVnPrFuVEhJWobmaFXs/rRl63Ke+JO/zJe1JhWQb6eX8ogLZU8XBr1vo5uSxkwRpjvZQz7WgqY1VhVvG5ltjKnVtfR9BxTTSJ77plBF2nOUjrBI9p/sCEtAQmmfHChoLLtC0Wdx+bXHbEPc/MQj3Wv/5lUp9ClewH/Jc94AAAALV0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PG1vPis8L21vPjxtaT5jb3Q8L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1pPkI8L21pPjxtbz4rPC9tbz48bWk+Y290PC9taT48bW8+JiN4MjA2MTs8L21vPjxtaT5DPC9taT48bW8+PTwvbW8+PC9tYXRoPqDHeCkAAAAASUVORK5CYII=)
Maths-General
Maths-
Maths-General
Maths-
Maths-General
Maths-
Maths-General
General
Elastic potential and gravitational potential energies are equal all the time.
Elastic potential and gravitational potential energies are equal all the time.
GeneralGeneral
Maths-
In
cot ![A plus cot invisible function application B plus cot invisible function application C equals](data:image/png;base64,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)
In
cot ![A plus cot invisible function application B plus cot invisible function application C equals](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
maths-
Where
and ![n greater than m](data:image/png;base64,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)
Where
and ![n greater than m](data:image/png;base64,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)
maths-General
physics-
A ray of light is incident on an equilateral glass prism placed on a horizontal table For minimum deviation which of the following is true?
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)
A ray of light is incident on an equilateral glass prism placed on a horizontal table For minimum deviation which of the following is true?
![](data:image/png;base64,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)
physics-General