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## Topics in Vikas Gupta Maths Pdf

The topics in the Vikas Gupta Maths book for JEE are given below-

1. **Calculus**

- Function
- Limit
- Continuity, Differentiability, and Differentiation
- Application of Derivatives
- Indefinite and Definite Integration
- Area Under Curves
- Differential Equations

**2. Algebra**

- Quadratic Equations
- Sequence and Series
- Determinants
- Complex Numbers
- Matrices
- Permutations and Combinations
- Binomial Theorem
- Probability
- Logarithms

3. **Co-ordinate Geometry**

- Straight Lines
- Circle
- Parabola
- Ellipse
- Hyperbola

4. **Trigonometry**

- Compound Angles
- Trigonometric Equations
- Solution of Triangles
- Inverse Trigonometric Functions

5. **Vector & 3-Dimensional Geometry**

- Vector & 3-Dimensional Geometry

## Important Questions of Calculus for JEE

What is the derivative of the function f(x) = 3x^2 – 2x + 1 with respect to x?

A) 6x – 2

B) 3x^2 – 2x

C) 6x – 2x + 1

D) 3

**Ans. A) 6x – 2**

What is the integral of the function ∫(2x + 3) dx?

A) x^2 + 3x + C

B) x^2 + 3x

C) x + 3

D) 2x^2 + 3x

**Ans. A) x^2 + 3x + C (where C is the constant of integration)**

What is the limit of the function lim (x -> 0) (sin(x)/x)?

A) 0

B) 1

C) ∞

D) Undefined

**Ans. B) 1**

What is the first derivative of the natural logarithm function, ln(x)?

A) 1/x

B) e^x

C) 0

D) x

**Ans. A) 1/x**

If f(x) = x^3 – 4x^2 + 6x – 2, what is the local minimum value of the function?

A) -2

B) -1

C) 0

D) 1

**Ans. A) -2**

What is the second derivative of the function f(x) = 4x^3 – 6x^2 + 2x – 5?

A) 24x^2 – 12x + 2

B) 12x^2 – 12x + 2

C) 8x^2 – 6x + 2

D) 4x^2 – 6x + 2

**Ans. A) 24x^2 – 12x + 2**

**Ans. A) The first derivative of an integral is the original function.**

What is the area under the curve y = 2x between x = 1 and x = 3?

A) 2

B) 4

C) 6

D) 8

**Ans. C) 6**

## Questions of Calculus for JEE

What is the slope of the tangent line to the curve y = x^2 at the point (2, 4)?

A) 2

B) 4

C) 1

D) 0

**Ans. C) 1**

If the derivative of a function f(x) is f'(x) = 2x + 1, what is the original function f(x)?

A) x^2

B) x^2 + 1

C) x^2 + x

D) x^2 + 2

**Ans. B) x^2 + 1**

What is the limit of the function lim (x -> ∞) (1/x)?

A) 0

B) 1

C) ∞

D) Undefined

**Ans. A) 0**

Which of the following functions is not continuous at x = 2?

A) f(x) = 2x + 3

B) g(x) = |x – 2|

C) h(x) = 1/x

D) j(x) = x^2 – 4

**Ans. C) h(x) = 1/x**

What is the derivative of the constant function f(x) = 7?

A) 0

B) 1

C) 7

D) Undefined

**Ans. A) 0**

If the velocity of an object is given by v(t) = 3t^2 – 6t + 2, what is the object’s acceleration at time t?

A) 6t – 6

B) 6t – 6t^2

C) 6t – 6t^2 + 2

D) 3t^2 – 6t

**Ans. A) 6t – 6**

What is the area enclosed by the curve y = sin(x) and the x-axis between x = 0 and x = π?

A) 2

B) π

C) 1

D) 0

**Ans. B) π**

## Details of Book of Vikas Gupta Maths Pdf

Book Name | Advanced Problems in Mathematics For JEE Main & Advanced |

Author Name | Vikas Gupta & Pankaj Joshi |

Pdf Language | English |

Pdf Size | 74 MB & 53 MB |

Total Pages | 387 & 378 |

## Download the pdf of Vikas Gupta Maths

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