Maths-
General
Easy
Question
From the given figure ,what is the value of ‘P’ ?
![](data:image/png;base64,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)
- 1 < P < 7
- 1 > P; P < 7
- P > 7
- none of these
The correct answer is: 1 < P < 7
1<p<7
Sum of two side of triangle is always greater than the length of third side
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Maths-
In
ABC ,
B = 70° ,
C = 40° , D is s point on BC and AB = AD. Then
![](data:image/png;base64,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)
In
ABC ,
B = 70° ,
C = 40° , D is s point on BC and AB = AD. Then
![](data:image/png;base64,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)
Maths-General
Maths-
In the figure AB = AC and BC = BD. A, B, D are collinear and
CAB = 30° then
CDB=
![](data:image/png;base64,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)
In the figure AB = AC and BC = BD. A, B, D are collinear and
CAB = 30° then
CDB=
![](data:image/png;base64,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)
Maths-General
Maths-
In acute angled
ABC, a > b > c
Statement-1: ![r subscript 1 greater than r subscript 2 greater than r subscript 3 to the power of asterisk times end subscript](data:image/png;base64,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)
Statement-2: cos A < cos B < cos C
In acute angled
ABC, a > b > c
Statement-1: ![r subscript 1 greater than r subscript 2 greater than r subscript 3 to the power of asterisk times end subscript](data:image/png;base64,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)
Statement-2: cos A < cos B < cos C
Maths-General
Maths-
If a circular Arc
and
respectively have centre at B and A. and If there exist a circle ‘S’ tangent to both arcs AC, BC also to the line segment AB then circumference of the circles
![](data:image/png;base64,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)
If a circular Arc
and
respectively have centre at B and A. and If there exist a circle ‘S’ tangent to both arcs AC, BC also to the line segment AB then circumference of the circles
![](data:image/png;base64,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)
Maths-General
Maths-
ABC and a point P in the same plane are given. Point P is equidistant from A and B,
APB = 2
ACB, AC, BP Intersect at D, PB=3, PD=2 then AD.CD=
ABC and a point P in the same plane are given. Point P is equidistant from A and B,
APB = 2
ACB, AC, BP Intersect at D, PB=3, PD=2 then AD.CD=
Maths-General
Maths-
In the figure given ABCD is a 2
2 Square E is midpoint of
and F is on
. If
is perpendicular to BE then area of quadrilateral CDEF
![](data:image/png;base64,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)
In the figure given ABCD is a 2
2 Square E is midpoint of
and F is on
. If
is perpendicular to BE then area of quadrilateral CDEF
![](data:image/png;base64,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)
Maths-General
maths-
In the figure given below AB and CD are Perpendicular diameters of a circle with Centre O, chord DF intersect AB at E If DE=6, EF=2 then area of circle is
![](data:image/png;base64,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)
In the figure given below AB and CD are Perpendicular diameters of a circle with Centre O, chord DF intersect AB at E If DE=6, EF=2 then area of circle is
![](data:image/png;base64,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)
maths-General
maths-
In a
le ABC the sides a, b, c are having relations a + b = 20, b + c = 21 and
then a=
In a
le ABC the sides a, b, c are having relations a + b = 20, b + c = 21 and
then a=
maths-General
maths-
ABC is right angled at A. The points P and Q are on the hypotenuse BC such that BP = PQ = QC If AP = 3, AQ = 4 then length BC =
ABC is right angled at A. The points P and Q are on the hypotenuse BC such that BP = PQ = QC If AP = 3, AQ = 4 then length BC =
maths-General
maths-
The Incircle of a ΔABC touches BC at P, AC at Q and AB at R. If G be the foot of perpendicular from P to QR then ![fraction numerator R G over denominator Q G end fraction times fraction numerator C Q over denominator B R end fraction equals](data:image/png;base64,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)
The Incircle of a ΔABC touches BC at P, AC at Q and AB at R. If G be the foot of perpendicular from P to QR then ![fraction numerator R G over denominator Q G end fraction times fraction numerator C Q over denominator B R end fraction equals](data:image/png;base64,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)
maths-General
maths-
In a triangle
and
then ![lambda equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABsAAAANCAYAAABYWxXTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIBJREFUeNpjYEAAJiC+BcS2DHQCLEC8FIiF6WWhBxDX0ssyUHCeY6AjOEpE3P0nAhMEGUBcAsRzae0jFSDeAGUfBGIeWsbVbiAWh/KrgTiNVsHYDMSRSHxjID5MC19ZAvEaLOL3qZ3nQPFyEoehXQSCkmSwEIiDcMjpAfFxhqEIAIFPIpNBQAabAAAAWXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT4mI3gzQkI7PC9taT48bW8+PTwvbW8+PC9tYXRoPnDoxj4AAAAASUVORK5CYII=)
In a triangle
and
then ![lambda equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABsAAAANCAYAAABYWxXTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIBJREFUeNpjYEAAJiC+BcS2DHQCLEC8FIiF6WWhBxDX0ssyUHCeY6AjOEpE3P0nAhMEGUBcAsRzae0jFSDeAGUfBGIeWsbVbiAWh/KrgTiNVsHYDMSRSHxjID5MC19ZAvEaLOL3qZ3nQPFyEoehXQSCkmSwEIiDcMjpAfFxhqEIAIFPIpNBQAabAAAAWXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT4mI3gzQkI7PC9taT48bW8+PTwvbW8+PC9tYXRoPnDoxj4AAAAASUVORK5CYII=)
maths-General
maths-
In a triangle ABC bisector of
meets the side AB at D and circum circle at E. The maximum value of CD.DE is
In a triangle ABC bisector of
meets the side AB at D and circum circle at E. The maximum value of CD.DE is
maths-General
Maths-
In the figure, AB = BC = CD = DE = EF and AF = AE. Then
=
![](data:image/png;base64,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)
In the figure, AB = BC = CD = DE = EF and AF = AE. Then
=
![](data:image/png;base64,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)
Maths-General
Maths-
In figure, AB = AC,
A = 48° and
ACD = 18°. Then
![](data:image/png;base64,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)
In figure, AB = AC,
A = 48° and
ACD = 18°. Then
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIYAAACMCAYAAAC54tH3AAAP4klEQVR4nO2de1hTV7qHPwhQEQUvVUFLQaq2PmoZ8GmrgrQwWqCPFrwUBPUIiKjIqYPlKqC2Hq2ttePRB8LF4YyKtS3ipXZAwanjiJ7jWIKiCNhqBilBkVrRJBBw5zt/dLYjZashWfsSs94/k+xv/QjvXmvttS+xQkQECuU3WIsdgCJNqBgUTqgYFE6oGBROqBgUTqgYFE6oGBROqBgUTqgYFE6oGBROqBgUTqgYFE6oGBROqBgUTqgYFE6oGJxooPZCPejEjiEiVAwO9Kr9kD5/HZTc1osdRTSoGL14AFf2fAtXtMegoEgJjNhxRIKK8Vs6K2F/49tQ8IffgaLwT1DVJXYgcaBi9EAPt48cAu3MCPD7jxjwbymC/Ir7YocSBSrGozBK2P8XHUwe2wo/tntC4PROOJh/AFoscKpBxXiErqq9UOXkDbLLClAo6sHJbyYM+24X7LlqeTMNG7EDSIc78Jf9dyAwax1EDP/X/sJMhuaD3rAr7wys/qMf9BM3oKDQHgMAQN8K5+QJkFGqglv1TcDON7uafgK1rR1c+9Ma+MP/nIdWCxpSrOgNRxQuaI/xCDqdJa919oSK8S9qamogISFB7BiSgQ4lAMAwDLz++utQU1MD3377LQQGBoodSXRojwEAeXl5cP36dVi2bBmsXLkStFqt2JHEBy0clUqFjo6OmJubi2q1Gt3c3DA9PV3sWKJj8UNJeHg4NDU1QWVlJVhbW0NpaSmEhIRAdXU1TJw4Uex4omHRYrASKBQKmDRp0sPXw8LCoLm5GU6fPg3W1hY62orbYYkHO2ykpqb2eq+5ufnh8GKpWKwYKSkp6O7ujhqNhvP97OxsdHJyQpVKJXAyaWCRQ0lNTQ14e3vD0aNHITg4mPMzDMOAj48PuLu7w5dffilwQvGxODH0ej1MmzYN3Nzc4KuvvnriZy9evAiTJ09+okDPLOJ2WMKTk5ODjo6OBg8RycnJ6O7ujmq1mudk0sKixGDXLLKzsw3ehp2kpqSk8JhMeljUUBIeHg6NjY1w5swZkMlkBm9XWloK7777LlRVVYGnpyePCaWDxYhh6j83LCwMbty40WepzBZxOyxhYIeDpKQko2uwaxt9GYbMGYsQIyUlBV988UWTJ5DZ2dno6OiIzc3NhJJJFzMYSjRw7e9HoPy8CtR6ACtrGdjaO4Gzhyf4+k2GUf2fvDW7ZnH48GGYNWuWSUnYtQ1XV1coLi42qZbkEdtMw7iDu0OdcPicXLyo/Cf+WH0M81a/iW6u/phRfhOZx2zFMAxOmTIF582bRyzJxYsXUSaT4dGjR4nVlCJmIkYHfhPtgqNiS7Hz4WsaPL/uNXQYMR/3qrjVkMvlOHDgQPzpp5+IpmGHpvv37xOtKyXMWAxEbC3E2QPtMWDHjV69hkqlQicnJ9yxYwfxNGq1Gt3d3fGDDz4gXlsqmPc5ZaeXYZwLA//84Rp0/+atxMREGDt2LMTHxxNv1sHBAXJycmD79u1QXV1NvL4UMG8xsAM6dAADHAfCoysLZWVlUFxcDHl5ebytOQQHB8O8efMgLi4OGObZu1PNrMV40HAa/u/mKPANmPDwljqtVgvx8fGwevVq8Pb25rX97du3w9WrVyE7O5vXdkRB7LHMMDrwyBLnnnOM+9/jp793wdGR+7DxkQlGamoqurq6CjYxzMnJwQEDBmBTU5Mg7QmFeaxjnNoH/7UyAQ7I3oUV834HTngXlJevg/WU5ZC5OhDc7H795KVLl8Db2xsOHDgAISEhgqRjT+OPHDkSDh48KEibQmAGYhiGXq8HHx8fcHZ2hkOHDgnaNruIVlJSIpiQvCNuh0UOuVyOAwYMwBs3bojSfkpKCr7wwgt47949UdonzTMhBnudxccffyxaBnZtY/Xq1aJlIIlZH5WwJCYmgoeHBzQ0NMCVK1dEycCubezcuRO+//57UTIQRWwzTaWsrAytra3x/PnzqNPpMDExEcvKykTLExYWhl5eXtjd3S1aBhKYtRgajQZHjx6N77///sPX9Ho9btu2TbTrJtil+M8//1yU9klh1mKkpaXhqFGjsL29vdd7hw4dwuTkZOzq6hI8l1wuRwcHB2xsbBS8bVKYrRg1NTVoY2ODJSUlj/2MQqHA6OhovHPnjoDJ/n26f/bs2ajX6wVtmxRmKQbDMDh16lSDvvjm5mZctGgRXr16VaB0v2KIuFLGLMXIzc3tU1et0Whw+fLl+N133/GcrCepqak4cuRIzqFO6pidGC0tLejk5ISfffZZn7ZjGAY//PBDzM/P5ylZbzQaDbq7u2NCQoJgbZLC7MRYsGABenp6Gn04uHfvXkxLS8MHDx4QTsZNaWkpWllZ4blz5wRpjxRmJUZZWRmRL7myshKjoqIE6+LDw8NNklkMzEYMds1i1apVROoplUoMDw/H69evE6n3JNi1ja1bt/LeFinMRoy0tDR0cXHBu3fvEqvZ3t6OS5YswdOnTxOr+Tjkcjn2798flUol722RwCzEYA/9vv76a+K1u7u7MTk5GXfv3k289qOwh9jvvPOOWaxtSF4Mob5QuVyOmZmZyDCPu0vFdPgUnDSSFyM3Nxft7e0F6YLLy8sxOjqa18sC09LS0NnZmeiQyAeSFqOlpQUHDRqEn3zyiWBt1tXV4fz583m74IedRK9cuZKX+qSQtBgRERE4adIkwU+EtbW1YXh4OG9rD+xh99mzZ3mpTwLJinHs2DFRvzydTofx8fG4f/9+XuovWLBAFOkNRZJisN3tihUrRM2h1+vx008/xQ0bNhCf+LJL+1u2bCFalxSSFCM9PR1HjBiBv/zyi9hREPHXaztiYmJQq9USrctOrK9du0a0LgkkJ8alS5fQxsaGty7cWBQKBc6dO5foQ1MYhsFp06ZhYGCg5NY2JCWGlL8oxF+XtufMmYNVVVXEakp1R5CUGHl5edivXz9Jdq0sGo0Go6KiiF6Aww6dQl9p9iQkIwa7ZrF582axozwVhmFw3bp1uHnzZiI9m0ajQQ8PD4yLiyOQjgySESMiIgInTJiAOp1O7CgGU1RUhLGxsdjR0WFyrWPHjiEAYGVlJYFkpiMJMaT2pfSFM2fOYGhoKN66dcvkWlLaOUQXg12zWLZsmdhRjEapVOKsWbOwpqbGpDrscLpp0yZCyYxHdDHS09Nx+PDh+PPPP4sdxSTa29sxPDzc5Kf5sRPwH374gVAy4xBVjMuXL6ONjQ3u27dPzBjE6O7uxjVr1uC2bduMnpSyh+wzZ84U9ZBdNDEYhkEfHx+cMWOGJNcsTEEul+OKFSuMniuwaxtFRUWEkxmOaGLk5+fjc889J3qXyRcVFRUYGhqKbW1tRm2fnp6Ow4YNE22IFUWMmzdv4qBBg3Djxo1iNC8YdXV1GBQUhHV1dX3eVqvVooeHBy5dupSHZE9HFDEiIyNx/Pjx2NnZ+fQPmzltbW0YEhKCx48f7/O2x48fRwDAU6dO8ZDsyQguhph/rFjodDqMi4vDnTt39nnbyMhIfOWVVwTfiQQVg+0eY2JihGxWErDXdiQkJPTpxiN22P3oo494TNcbQcVYu3YtPv/880ZPyJ4FDh8+jKGhoX261oSdqDc0NPCYrCeCicGuWezZs0eoJiWLQqHAGTNmGHxExh7aBwQECHZoL4gYYvxhUkelUmFQUBCePHnSoM+zOxbfN0axCCJGfn4+2tnZCdoVmgMajQYjIyOxoKDAoM+vXbsWhw4dirdv3+Y5mQBisJOnDRs28N2UWcIwDGZlZWFiYuJTH82g1WrxpZdewqioKN5z8S7GwoULcdy4cRaxZmEKRUVFOHfu3Kc+mqG8vBwBwOAhyFh4FUOoP+JZ4ezZsxgQEPDURzMIsbPxJgbb7S1ZsoSvJp5JlEolBgQEPPGipVu3buHgwYNx/fr1vOXgTYyMjAzBJkrPGu3t7ThnzpwnHoEUFBSgnZ2dUedhDIGXn6Wora0FLy8vyMvLg+joaNLlLQKGYSApKQn69esHmzZtAmvrno991+v18Oabb4JMJoOTJ0+ClZUV2QCkTWMYBn19fdHPz4+uWRAgNzcX33vvPc5HM9TW1qKtrS0WFhYSb5e4GAUFBWhra8tbF2eJVFRUoL+/P+ejGTIyMnDIkCHY2tpKtE2iYrCToqysLJJlKYhYX1+P06dP7/VoBnaSv3jxYqLtERVj0aJFOGbMGCL3WVB609bWhkFBQb1uZ2SXBU6cOEGsLWJiVFRUIABgRUUFqZIUDnQ6HcbGxuL69et7zOEWLlxIdKckIoZWq8UxY8bgokWLSJSjPAW9Xo9bt27FiIiIh49mYIfxzMxMIm0QESMzMxMHDx5M5G4siuEcOXIE/f39UaVSISLirl270NbWFmtra02ubbIY7CGToWcIKWSprq7GqVOnokKhQIZhcPr06ejr62vyYylNEoNkEIrxqFQqfOutt7CkpITYjmrSymdhYSEsX74cLly4ABMmTCC36kbpMx0dHRATEwOvvvoqaDQayM7Ohvr6ehgxYoRR9Yz+ec3W1lZISkqClJQUKoUEsLe3h3379kFnZycolUoYOnQorFmzxuh6NsZuGBsbCzKZDFxdXaGwsNDoABSyuLm5gUqlgq6uLvjiiy9gwYIFMHv27D7XMWoouXDhAkRGRkJHRwc4ODj0uVEK/3R1dYFarYY33ngDiouLwcamb30AL2dXKebPM/ET3hTyUDEonFAxKJxQMSicUDEonFAxKJwYcHCrhh//9g1UVKlAjQDWMhuwtRsILhOmw9t+48CJqiVN9O3QcOo4VNa1gZWzF8wMmggdTffgpZdHgcyQ7Q07pXIHd4c6ocvig3gXETuaz6I8Yjy6Bf831tAbzCRHR+2fcan/27gq/yTWt9zCxuojuC3qNRwXdQgNvYzHQDE68JtoFxwVW4qsB4xqJwbYv4grT1AzJIX6FH4w0RnfyVNijzthNf+L6zOK0NCf6DN6IOi83gg3YQgMG2JQx0QRiDtHdkBh01SICHPvOWT0fx3eX/V76GdgnT4soCPcO78XNm48Bw9aLsNfj1aB+8avIcnL6PNwFOJ0QUP1ZdAMDwa3/r99zxqGuDgbXKkP/1UrcHxtMWRlBYPN3XrwHf6fsHxzPGzyKoctAYMNL0PhEWuwtbMFeNAND0w8A2bUUCIb9ArMytwCMS9chNz8E6A1LQOFGDYw3mcKDL9ZDf9oZHq9q+/sBJ2BlQwWA/X6ni/ca4KmOzJwHzsa7AwtQuEdh8A02PB2I+Sk/xkaOv/9OtNyCvYevgydj9+0BwacdlfDj3/7AjbFJ8AB61mwNMQThsruQsOZs9AydgX8cVs0vEovyZAW6lrY/1EW5P6jG1zHvwyjRz4Pg1ynQeRiP3Ax8FiBXo9B4YSuW1I4oWJQOKFiUDihYlA4oWJQOKFiUDihYlA4oWJQOKFiUDihYlA4+X/3wt03zywO/QAAAABJRU5ErkJggg==)
Maths-General
Maths-
In the figure, x° and y° are two exterior angles of
ABC . Then x° + y° is
![](data:image/png;base64,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)
In the figure, x° and y° are two exterior angles of
ABC . Then x° + y° is
![](data:image/png;base64,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)
Maths-General