Maths-
General
Easy
Question
The area of the region between the curve
4 and x = 0; x =1 is….
![](data:image/png;base64,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)
- 3
The correct answer is: ![square root of 3 plus fraction numerator 2 pi over denominator 3 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEoAAAAjCAYAAAAzK5zjAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAitJREFUeNrtmE8oRFEUxl+SNM2CKBsizUKSLEwRko0ki0kjZKEpC1nZsbBQkiVFNpSkLEQshJIkSWOBrESytJiFmsSkGN+tQ69nZt59/6Y3976vfs3cO7fX7cw9557vKUruqwVsgzj4BLdgSPH0T2dgEPhpXAsuaM6TjirBnRcGPiXSzI+Bd5DMwIQsQWqm9EuldVBBdS2kmmfjHplOUiGIUpHPpCcK2K+eQZksQSoGe6BTZ10+pZ96/GbXJvw6ea2H06qmIAU4U/NUMz6xayMDmoe7STVgBfg417PWYU017qfaZYsOwYgLg8TqyhalD6+WQUQ1ngFLdmymFLzSp9u0TyfKiFghb1CNZ8Expa3PymZGwW6K+Q5wQIWR9S0PYAGUZDFQRusiawmuNXNBskAbVjfDalM4zXwvKFDNsX/qSMYOtwrEqD/hVdzkychpTdKNYuSavpcxUDegi/P2iVCd6hY5UP4Uc3XgRefq1RbQcQtF2dUKUPPFNtqq+W0OzBuwDyHyWe0Wbyu9bj6ZRf40RYFifdKVZkPMKDaaOJlRkVOPvaf5VjnoJvBosOPVexckTDFnjeMmfV8E0yaeUU8FXehArYIPOkUxDmvA3lf30fo86tRZug6LHqgi8AV2wCXH+jbyWgmCderSvCU8t3jNu0mOetEgBapcgEA57kXDgmdNXPHkmBeVRla9qPCyy4tKI6NeVHqZ9aJSKuGFwDkvKrTs9KJCyzYv+gMl0ryQyCmrjAAAAKJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXNxcnQ+PG1uPjM8L21uPjwvbXNxcnQ+PG1vPis8L21vPjxtZnJhYz48bXJvdz48bW4+MjwvbW4+PG1pPiYjeDNDMDs8L21pPjwvbXJvdz48bW4+MzwvbW4+PC9tZnJhYz48L21hdGg+k0DNsQAAAABJRU5ErkJggg==)
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maths-
The area of the region bounded by y=|x-1| and y=1 in sq. units is
![](data:image/png;base64,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)
The area of the region bounded by y=|x-1| and y=1 in sq. units is
![](data:image/png;base64,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)
maths-General
maths-
The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively
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)
The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively
![](data:image/png;base64,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)
maths-General
maths-
The area of circle circumscribing ΔABC is
The area of circle circumscribing ΔABC is
maths-General
maths-
Statement-I : The statement that circumradius and inradius of a triangle are 12 and 8 respectively can not be correct. Statement-II : Circumradius 2 (inradius)
Statement-I : The statement that circumradius and inradius of a triangle are 12 and 8 respectively can not be correct. Statement-II : Circumradius 2 (inradius)
maths-General
maths-
The complete solution set of the equation
is
The complete solution set of the equation
is
maths-General
Maths-
The solution(s) of the equation cos2x sin6x = cos3x sin5x in the interval [0,
] is/are –
The solution(s) of the equation cos2x sin6x = cos3x sin5x in the interval [0,
] is/are –
Maths-General
maths-
The equation
has
The equation
has
maths-General
maths-
if
if
maths-General
Maths-
Maths-General
Maths-
If
, the coefficient of
in the expansion of
is
If
, the coefficient of
in the expansion of
is
Maths-General
maths-
If
for
then ![open parentheses sum from K equals 1 to n of a subscript K close parentheses squared equals](data:image/png;base64,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)
If
for
then ![open parentheses sum from K equals 1 to n of a subscript K close parentheses squared equals](data:image/png;base64,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)
maths-General
Maths-
The number of partial fractions of
is
The number of partial fractions of
is
Maths-General
maths-
The number of partial fractions of
is
The number of partial fractions of
is
maths-General
maths-
Coefficient of
is
is
Coefficient of
is
is
maths-General
maths-
Coefficient of
is ![1 plus left parenthesis 1 plus x right parenthesis plus left parenthesis 1 plus x right parenthesis squared plus](data:image/png;base64,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)
is
Coefficient of
is ![1 plus left parenthesis 1 plus x right parenthesis plus left parenthesis 1 plus x right parenthesis squared plus](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKEAAAARCAYAAAC1m8zDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAPUJuPDwAAAbZJREFUeNpjYBgFo4B08B+KfwHxUSBWGaoeyQLijkHsvg6oG0fDADdggsqfG4oJUA+Ijw8Bdx6FunU0DPCDH9S0UA2Ia4H4Ah08ZjCA9hMLjIH48GgY4A0DeyA+SE0LFwNxGrS+pxUwgEbAQNlPKjgMjYjRMMAEklB/KNGq4UkrPV1AnDOA9pMK8khot42kMACV2FugCZEmbqNlAOwAYtsBjoBkHAmrGSqHDCyBeO9oGKCEASjhbQNiPlqmKVoGwCcgZhsEpQCoRyeOxE8E4ilY1LFB3TwaBggASoAatE5TtAyAPwNsPwx4AHEflO1CoLT7NRoGKGHwHwsekET4nwhMywgg135ksBvauwP1RIXJSISjYUBDt42E6hgECqCBi28cbDhXx7QIgyFRHYNynvUgiACQG9ZAq6NIPOpo0TEZzmEwJBLhYBieAI1rbQJiLiDmAeIzeKqiHKibR8NgGCVCfAO19LBfFNq7Qw5wHwbIIDE2QMpg9WgYUME/5DRsyQHHcbRBaG0/qG2zDoilscgth/YWkQEtp+1Gw2CAwegChtEwGBQgg2FwL2MCtYHSRsOA5mHAAAC61PZX232NEQAAAOJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW4+MTwvbW4+PG1vPis8L21vPjxtbz4oPC9tbz48bW4+MTwvbW4+PG1vPis8L21vPjxtaT54PC9taT48bW8+KTwvbW8+PG1vPis8L21vPjxtbz4oPC9tbz48bW4+MTwvbW4+PG1vPis8L21vPjxtaT54PC9taT48bXN1cD48bW8+KTwvbW8+PG1uPjI8L21uPjwvbXN1cD48bW8+KzwvbW8+PC9tYXRoPpN9yRMAAAAASUVORK5CYII=)
is
maths-General