WB JEE 2010 | Functions Question 9 | Mathematics | WB JEE - ExamSIDE.Com

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Algebra

Sets and Relations

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Logarithms

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Sequence and Series

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Quadratic Equations

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Permutations and Combinations

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Mathematical Induction and Binomial Theorem

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Mathematical Induction

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Binomial Theorem

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Matrices and Determinants

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Vector Algebra

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Three Dimensional Geometry

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Probability

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Complex Numbers

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Statistics

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Trigonometry

Trigonometric Functions & Equations

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Inverse Trigonometric Functions

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Properties of Triangle

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Coordinate Geometry

Straight Lines and Pair of Straight Lines

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Circle

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Parabola

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Ellipse

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Hyperbola

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Calculus

Functions

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Limits, Continuity and Differentiability

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Differentiation

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Application of Derivatives

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Indefinite Integrals

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Definite Integration

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Application of Integration

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Differential Equations

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1

WB JEE 2010

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+1

-0.25

The minimum value of $$f(x) = {e^{({x^4} - {x^3} + {x^2})}}$$ is

A

e

B

$$-$$ e

C

1

D

$$-$$ 1

2

WB JEE 2011

MCQ (Single Correct Answer)

+1

-0.25

The period of the function f(x) = cos 4x + tan 3x is

A

$$\pi$$

B

$${\pi \over 2}$$

C

$${\pi \over 3}$$

D

$${\pi \over 4}$$

3

WB JEE 2011

MCQ (Single Correct Answer)

+1

-0.25

The even function of the following is

A

$$f(x) = {{{a^x} + {a^{ - x}}} \over {{a^x} - {a^{ - x}}}}$$

B

$$f(x) = {{{a^x} + 1} \over {{a^x} - 1}}$$

C

$$f(x) = x.\,{{{a^x} - 1} \over {{a^x} + 1}}$$

D

$$f(x) = {\log _2}(x + \sqrt {{x^2} + 1} )$$

4

WB JEE 2011

MCQ (Single Correct Answer)

+1

-0.25

If f(x + 2y, x $$-$$ 2y) = xy, then f(x, y) is equal to

A

$${1 \over 4}xy$$

B

$${1 \over 4}({x^2} - {y^2})$$

C

$${1 \over 8}({x^2} - {y^2})$$

D

$${1 \over 2}({x^2} + {y^2})$$

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