Question
The solution of the inequality ![open parentheses tan to the power of negative 1 end exponent invisible function application x close parentheses to the power of 2 end exponent minus 3 t a n to the power of negative 1 end exponent invisible function application x plus 2 greater or equal than 0 text is - end text](data:image/png;base64,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)
Hint:
take, tan-1(x) as t now the inequality will be converted into a simple quadratic inequality
The correct answer is: ![left parenthesis negative infinity comma t a n invisible function application 1 right square bracket](data:image/png;base64,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)
let tan-1(x) = t
![n o w space t h e space e q u a t i o n space w o u l d space b e thin space colon
t squared plus negative 3 t space plus space 2 space greater than equals 0
t squared space minus 2 t space minus t space plus 2 space greater than equals 0 space space left parenthesis s p i t t i n g space t h e space m i d d l e space t e r m right parenthesis
t space left parenthesis t minus 2 right parenthesis space minus 1 space left parenthesis t minus 2 right parenthesis space greater than equals 0 space left parenthesis t a k i n g space c o m m o n right parenthesis space
left parenthesis t minus 1 right parenthesis space left parenthesis t minus 2 right parenthesis space greater than equals 0 space
t element of left parenthesis negative infinity comma 1 right square bracket space U space left parenthesis 2 comma infinity right square bracket
b u t space t space equals space tan to the power of negative 1 end exponent left parenthesis x right parenthesis
tan to the power of negative 1 end exponent left parenthesis x right parenthesis element of space left parenthesis negative infinity comma 1 right square bracket space U space left parenthesis 2 comma infinity right square bracket](data:image/png;base64,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)
Related Questions to study
The value of tan
is
The value of tan
is
The image of the interval [- 1, 3] under the mapping specified by the function
is :
Hence the correct option in [-8,72]
The image of the interval [- 1, 3] under the mapping specified by the function
is :
Hence the correct option in [-8,72]
Let f(x)
defined from
, then by f(x) is -
Let f(x)
defined from
, then by f(x) is -
If f : R
R is a function defined by f(x) = [x]
, where [x] denotes the greatest integer function, then f is :
The correct answer is choice 2
If f : R
R is a function defined by f(x) = [x]
, where [x] denotes the greatest integer function, then f is :
The correct answer is choice 2
Let ƒ : (–1, 1)
B, be a function defined by ƒ(x)
then ƒ is both one-one and onto when B is the interval-
Hence, the range of the given function is .
Let ƒ : (–1, 1)
B, be a function defined by ƒ(x)
then ƒ is both one-one and onto when B is the interval-
Hence, the range of the given function is .
The range of the function
is-
Hence, range of the given function will be R−{−1}
The range of the function
is-
Hence, range of the given function will be R−{−1}
A function whose graph is symmetrical about the origin is given by -
Hence, the function f(x+y)=f(x)+f(y) is symmetric about the origin.
A function whose graph is symmetrical about the origin is given by -
Hence, the function f(x+y)=f(x)+f(y) is symmetric about the origin.
The minimum value of
is
The minimum value of
is
is -
Hence, the given function is many one and onto.
is -
Hence, the given function is many one and onto.
If f(x) is a polynomial function satisfying the condition f(x). f(1/x) = f(x) + f(1/x) and f(2) = 9 then -
If f(x) is a polynomial function satisfying the condition f(x). f(1/x) = f(x) + f(1/x) and f(2) = 9 then -
Fill in the blank with the appropriate transition.
The movie managed to fetch decent collections ______ all the negative reviews it received.
Fill in the blank with the appropriate transition.
The movie managed to fetch decent collections ______ all the negative reviews it received.
If R be a relation '<' from A = {1, 2, 3, 4} to B = {1, 3, 5} i.e. (a, b)
R iff a < b, then
is ![text-end text](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAAHCAYAAADTcMcaAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAGKUc3qwAAABJJREFUeNpjYECA/0TgUUAxAAAFGAj4Gd15qgAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXRleHQ+LTwvbXRleHQ+PC9tYXRoPs3uNooAAAAASUVORK5CYII=)
Values of are {(3, 3), (3, 5), (5, 3), (5, 5)}
If R be a relation '<' from A = {1, 2, 3, 4} to B = {1, 3, 5} i.e. (a, b)
R iff a < b, then
is ![text-end text](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAAHCAYAAADTcMcaAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAGKUc3qwAAABJJREFUeNpjYECA/0TgUUAxAAAFGAj4Gd15qgAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXRleHQ+LTwvbXRleHQ+PC9tYXRoPs3uNooAAAAASUVORK5CYII=)
Values of are {(3, 3), (3, 5), (5, 3), (5, 5)}
Which one of the following relations on R is equivalence relation
Which one of the following relations on R is equivalence relation
Let R = {(x, y) : x, y
A, x + y = 5} where A = {1, 2, 3, 4, 5} then
Hence, the given relation is not reflexive, symmetric and not transitive
Let R = {(x, y) : x, y
A, x + y = 5} where A = {1, 2, 3, 4, 5} then
Hence, the given relation is not reflexive, symmetric and not transitive
Let
be a relation defined by
Then R is
Hence, the given relation is Reflexive, transitive but not symmetric.
Let
be a relation defined by
Then R is
Hence, the given relation is Reflexive, transitive but not symmetric.