GUJCET Question Paper 2014 (Available): Check Previous Year Question Paper with Solution PDF (2024-2006)

GUJCET 2014 Question Paper is available. Candidates can download question paper with answer key PDF here. The total number of questions asked was 120, with 40 questions each from Physics, Chemistry, and Mathematics/Biology. Each correct answer carries one mark, and there was no negative marking for incorrect answers.

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GUJCET 2014 Question Paper with Answer Key PDF

Paper/Subject	Date	Question Paper PDF
Biology	May 8, 2014	Check Here

GUJCET Exam Pattern

Subject	Number of Questions	Marks
Physics	40	40
Chemistry	40	40
Mathematics/Biology	40	40
Total	120 questions	120 marks

*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.

GUJCET 2014 Questions

1.
Global maximum value of the function \( f(x) = \sin x + \cos x, \quad x \in [0, \pi] \) is: ...
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2.
If the value of \( \cos \alpha \) is \( \frac{\sqrt{3}}{2} \), then \( A + A = I \), where \[ A = \begin{bmatrix} \sin\alpha & -\cos\alpha \\ \cos\alpha & \sin\alpha \end{bmatrix}. \]
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3.
If \( A = \begin{pmatrix} 0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0 \end{pmatrix} \), find \( I + A^2 \), where \( I \) is the identity matrix.
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4.
If \[ \left| \begin{pmatrix} 2017 & 2018 \\ 2019 & 2020 \end{pmatrix} \right| + \left| \begin{pmatrix} 2021 & 2022 \\ 2023 & 2024 \end{pmatrix} \right| = 2k \] find \( k^3 \).
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5.
Evaluate the integral \( \int \frac{1}{\sqrt{4x - x^2}} \, dx \).
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Previous Year GUJCET Questions

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Fees Structure

Structure based on different categories

Categories	State
General	300
Women	300
sc	300
pwd	300
Others	300

In case of any inaccuracy, Notify Us!

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GUJCET Question Paper 2014 (Available): Check Previous Year Question Paper with Solution PDF (2024-2006)

GUJCET 2014 Question Paper with Answer Key PDF

GUJCET Exam Pattern

GUJCET 2014 Questions

1.
Global maximum value of the function \( f(x) = \sin x + \cos x, \quad x \in [0, \pi] \) is: ...

2.
If the value of \( \cos \alpha \) is \( \frac{\sqrt{3}}{2} \), then \( A + A = I \), where \[ A = \begin{bmatrix} \sin\alpha & -\cos\alpha \\ \cos\alpha & \sin\alpha \end{bmatrix}. \]

3.
If \( A = \begin{pmatrix} 0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0 \end{pmatrix} \), find \( I + A^2 \), where \( I \) is the identity matrix.

4.
If \[ \left| \begin{pmatrix} 2017 & 2018 \\ 2019 & 2020 \end{pmatrix} \right| + \left| \begin{pmatrix} 2021 & 2022 \\ 2023 & 2024 \end{pmatrix} \right| = 2k \] find \( k^3 \).

5.
Evaluate the integral \( \int \frac{1}{\sqrt{4x - x^2}} \, dx \).

Previous Year GUJCET Questions

Fees Structure

Structure based on different categories

Comments

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GUJCET 2014 Question Paper with Answer Key PDF

GUJCET Exam Pattern

GUJCET 2014 Questions

1.Global maximum value of the function \( f(x) = \sin x + \cos x, \quad x \in [0, \pi] \) is: ...

2.If the value of \( \cos \alpha \) is \( \frac{\sqrt{3}}{2} \), then \( A + A = I \), where \[ A = \begin{bmatrix} \sin\alpha & -\cos\alpha \\ \cos\alpha & \sin\alpha \end{bmatrix}. \]

3. If \( A = \begin{pmatrix} 0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0 \end{pmatrix} \), find \( I + A^2 \), where \( I \) is the identity matrix.

4. If \[ \left| \begin{pmatrix} 2017 & 2018 \\ 2019 & 2020 \end{pmatrix} \right| + \left| \begin{pmatrix} 2021 & 2022 \\ 2023 & 2024 \end{pmatrix} \right| = 2k \] find \( k^3 \).

5.Evaluate the integral \( \int \frac{1}{\sqrt{4x - x^2}} \, dx \).

Previous Year GUJCET Questions

Fees Structure

Structure based on different categories

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Global maximum value of the function \( f(x) = \sin x + \cos x, \quad x \in [0, \pi] \) is: ...

2.
If the value of \( \cos \alpha \) is \( \frac{\sqrt{3}}{2} \), then \( A + A = I \), where \[ A = \begin{bmatrix} \sin\alpha & -\cos\alpha \\ \cos\alpha & \sin\alpha \end{bmatrix}. \]

3.
If \( A = \begin{pmatrix} 0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0 \end{pmatrix} \), find \( I + A^2 \), where \( I \) is the identity matrix.

4.
If \[ \left| \begin{pmatrix} 2017 & 2018 \\ 2019 & 2020 \end{pmatrix} \right| + \left| \begin{pmatrix} 2021 & 2022 \\ 2023 & 2024 \end{pmatrix} \right| = 2k \] find \( k^3 \).

5.
Evaluate the integral \( \int \frac{1}{\sqrt{4x - x^2}} \, dx \).