Maths-

General

Easy

Question

# Statement 1 : f : R R and is bijective.

Statement 2 : is bijective.

- If both (A) and (R) are true, and (R) is the correct explanation of (A) .
- If both (A) and (R) are true but (R) is not the correct explanation of (A) .
- If (A) is true but (R) is false.
- If (A) is false but (R) is true.

## The correct answer is: If (A) is false but (R) is true.

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### Statement I : Graph of y = tan x is symmetrical about origin

Statement II : Graph of is symmetrical about y-axis

### Statement I : Graph of y = tan x is symmetrical about origin

Statement II : Graph of is symmetrical about y-axis

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### Statement- If Where is an identity function.

Statement- R defined by is an identity function.

### Statement- If Where is an identity function.

Statement- R defined by is an identity function.

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### Assertion (A) : Graph of

Reason (R) : In the expression a^{m/n}, where a, m, n × J^{+}, m represents the power to which a is be raised, whereas n determines the root to be taken; these two processes may be administered in either order with the same result.

### Assertion (A) : Graph of

Reason (R) : In the expression a^{m/n}, where a, m, n × J^{+}, m represents the power to which a is be raised, whereas n determines the root to be taken; these two processes may be administered in either order with the same result.

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### Assertion: The period of is 1/2.

Reason: The period of x – [x] is 1.

### Assertion: The period of is 1/2.

Reason: The period of x – [x] is 1.

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### Assertion : Fundamental period of .

Reason : If the period of f(x) is and the period of g(x) is , then the fundamental period of f(x) + g(x) is the L.C.M. of and T

### Assertion : Fundamental period of .

Reason : If the period of f(x) is and the period of g(x) is , then the fundamental period of f(x) + g(x) is the L.C.M. of and T

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### Assertion: The function defined by is invertible if and only if .

Reason: A function is invertible if and only if it is one-to-one and onto function.

### Assertion: The function defined by is invertible if and only if .

Reason: A function is invertible if and only if it is one-to-one and onto function.

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### Assertion : can never become positive.

Reason : f(x) = sgn x is always a positive function.

### Assertion : can never become positive.

Reason : f(x) = sgn x is always a positive function.

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### If f (x) =

### If f (x) =

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### The value of the integral dx is :

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Reason : If either or domain of f, then y = f(x) is one-one function.</span

### Assertion : Let be a function defined by f(x) = . Then f is many-one function.

Reason : If either or domain of f, then y = f(x) is one-one function.</span

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### Assertion : Fundamental period of .

Reason : If the period of f(x) is and the period of g(x) is , then the fundamental period of f(x) + g(x) is the L.C.M. of and T

### Assertion : Fundamental period of .

Reason : If the period of f(x) is and the period of g(x) is , then the fundamental period of f(x) + g(x) is the L.C.M. of and T

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### Function f(x) = 2x + 1 is-

### Function f(x) = 2x + 1 is-

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### If f(x) is an even function and Exist for all 'X' then f'(1)+f'(-1) is-

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### Suppose for. If g(x) is the function whose graph is the reflection of the graph of f(x) with respect to the line y = x, then g(x) equals–

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