Maths-
General
Easy
Question
In
, cot ![A plus cot invisible function application B plus cot invisible function application C equals](data:image/png;base64,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)
Hint:
In this question we will first covert cot into sin and cos form. Then we will use cosine formula and area of triangle
. Later we will simplify the equation to get the required value.
The correct answer is: ![fraction numerator a squared plus b squared plus c squared over denominator 4 straight capital delta end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGAAAAAnCAYAAADwxU3sAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAAAqZJREFUeNrtmj9IXEEQxhcJYiGBFBaHBCGIBAsbEZEgQUglIrZWInaSIoiQ4jhCECFYWKRLFVJIIARJIWIjIiKSJoiFSCCliNhJEJGDy0z8Tp/Lns692317evODD7zlzp3d2Z2d/WPMw6IEXZC2SZ0P3Y56abBNE2ma9KtR7KiXBtucN5od53XU+S9Jm41kR+iKzjDTJOQQEp9F7vzM7AhdEa8te8LvdpFWYFNMMrMjbUWlKr47RvoqHAirpMcpEwqfAzKtHTcW1vekY2Q5u6SOSA1+R8rDniOsNRsOp7Mtz2vI6KqhlbRAOkT/LJOeeLDjCh7VH/FP2RnfMBJjNJjr/kN6m7Bn0TErSg6FsKcVGd88Bl8zaZY04sGO/4yj0Um+kIYjNfg3qdsq44afet7TSPmAwRkMnt4DVtmmIwSl2bTdpkqh8MxR3lKjA2qx5yQRbjJJ+fjvvwF20RL6MSBseICsR7Cnj7QVOrM5sT6/CLDLlTaYw+FnR/kMqRDBnmEsuEE5xBQvww39HskBHGsnrbJm7AtyEezpJR2EdsAc6RNCD8f9JWQ8MRywjEX4FT63o2wykj0GKTlnQI+QDLxBlPBKHplQAbPh2JGGZgHXOwonFNH4GHYkeYqkpIiZOJVFpW1GURRFUZQglFSZSlEURVEURc6IMINYM/InLIoQvofdFziA7w/4pmxCu8wvfDw+JXAAn07yaemBdpk/+Kx9PbFhrETy/dAPzAalRsq3Xx0CB/C1afmZTK+Rv6ZTboGfgLy2jkxc8F2tfW3Kl/mj2oXp6TGXb06NwAE/8f0kg6b+nszfK7hTOwUOGDKXL/lc7Jjr+2SlSqQnituI+ZX2DjvalX6dYmdIa3f8Zh/hSAngAF5o++/4zYRxv65TPDjgXl+C/AO64CXWygVHJwAAAQ50RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1yb3c+PG1zdXA+PG1pPmE8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPis8L21vPjxtc3VwPjxtaT5iPC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bXN1cD48bWk+YzwvbWk+PG1uPjI8L21uPjwvbXN1cD48L21yb3c+PG1yb3c+PG1uPjQ8L21uPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj4mI3gzOTQ7PC9taT48L21yb3c+PC9tZnJhYz48L21hdGg+ARVmQQAAAABJRU5ErkJggg==)
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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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)
In
cot ![A plus cot invisible function application B plus cot invisible function application C equals](data:image/png;base64,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)
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Where
and ![n greater than m](data:image/png;base64,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)
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and ![n greater than m](data:image/png;base64,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)
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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
physics-
Two identical thin isosceles prisms of refracting angle ‘A’ and refractive index m are placed with their bases touching each other Two parallel rays of light are incident on this system as shown The distance of the point where the rays converge from the prism is
![](data:image/png;base64,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)
Two identical thin isosceles prisms of refracting angle ‘A’ and refractive index m are placed with their bases touching each other Two parallel rays of light are incident on this system as shown The distance of the point where the rays converge from the prism is
![](data:image/png;base64,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)
physics-General
physics-
A ray of light strikes a plane mirror at an angle of incidence 450 as shown in the figure After reflection, the ray passes through a prism of refractive index 1.50, whose apex angle is 40 The angle through which the mirror should be rotated if the total deviation of the ray is to be 900 is
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)
A ray of light strikes a plane mirror at an angle of incidence 450 as shown in the figure After reflection, the ray passes through a prism of refractive index 1.50, whose apex angle is 40 The angle through which the mirror should be rotated if the total deviation of the ray is to be 900 is
![](data:image/png;base64,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)
physics-General
physics-
A given ray of light suffers minimum deviation in an equilateral prism P Additional prisms Q and R of identical shape and of the same material as P are now added as shown in the figure The ray will now suffer
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)
A given ray of light suffers minimum deviation in an equilateral prism P Additional prisms Q and R of identical shape and of the same material as P are now added as shown in the figure The ray will now suffer
![](data:image/png;base64,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)
physics-General
maths-
In
sin ![A over 2 sin invisible function application B over 2 sin invisible function application C over 2 equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHkAAAAjCAYAAACw76XYAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAs1JREFUeNrtmzFrVEEUhYclBAk2FiIhiBCWEKzsJIiIEEQkSBBEQhCRgIWVRUCsLMQmWIjYiCxiIUIQkRBsRGQREUGCpLAQUvgHgiwSFhHGc81ZfD528zZvn/vOuHPgFJksy8edmTtzZ2ad252uOW014Z/wV3gDXoFHBTnH4SX4E7xF3lvwvrLBLsA/4CHRDq4yaElZ4B6JcS7Cq/BxuMK2g5xApbLaCFuHX8Gzop1sXE9SbefatJWp6/BD1TT4AJ6DL8H3RRlvMohJPYZPi/BNcAmRzIRTTC+mAwRV1DJns6XAI3BNbA9xR3VPY6PuI9eMltbgSUHWL7CnvwvN4JY+c98gmQIXU2234atinBV2rGkYnobfM0Wq8DUVO3iSszatEyxNlHQUfp1qm2eZoiAbeA3FTn6bSH9pq5VSc1yDk7ootpO1TDOi1MFX4Ls7/P8pfEaI9x58OdVWY+erqNZm6StNo6yJ9+7wmYWMQdBvPU9stPbD53kwMizEeAjehG+4Pydbe+AZDoDpfpciMxmfGeNuthf5Apk3E0tJk5lmrIDv9QXHtsravcHv/gY/E8uKhcpHxqgocdktyxu3fcPiO8wI3+FvW083mHbr7u+DmEFjlJadkp3dZSr0DN4SNymOO+b6ADN2YspyX7Tlsu9G2wXwZKqtwpp8UBlLGSHdjh67KHiXUaf6Ljc5vkDWEBj7Oht7ldXZduJkB/MTBQdwkBhl03VSVvyviQcwBEZpdVqzlAIYAqO0FliqKAcwBEbZTZy9nHzp2r+YLDuAITD+cx1z2+eqDaYyO/Cfj5z/F2ed5UXrNupwFyVH5Ayf8/cpz3oAWShy9qimC0ORM6emmGLUFTlzyl4xfOAGQlmRM6fsIP8FfEo8cJEzp8YJVBUPXOTMKXt7bQf4I+KBi5w5Zb97skd9Q+KBi5w9aNVp/uYpchaoUC60I2eGfgEAezIL224S7wAAAOx0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1pPkE8L21pPjxtbj4yPC9tbj48L21mcmFjPjxtaT5zaW48L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1mcmFjPjxtaT5CPC9taT48bW4+MjwvbW4+PC9tZnJhYz48bWk+c2luPC9taT48bW8+JiN4MjA2MTs8L21vPjxtZnJhYz48bWk+QzwvbWk+PG1uPjI8L21uPjwvbWZyYWM+PG1vPj08L21vPjwvbWF0aD7T9TtFAAAAAElFTkSuQmCC)
In
sin ![A over 2 sin invisible function application B over 2 sin invisible function application C over 2 equals](data:image/png;base64,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)
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