Haryana Lecturer Mathematics 2021 MCQ Paper 11-A
- Year 2021
- Conducted By Haryana Government
- Questions 100
- Maximum Marks 100
- Duration 2 Hours
Exam Details
| Detail | Information |
|---|---|
| Examination | Lecturer in Applied Science (Mathematics) |
| Year | 2021 |
| Conducting Body | Haryana Government |
| Paper | Applied Science (Mathematics) — Question Paper |
| Subject | Mathematics |
| Duration | 2 Hours |
| Maximum Marks | 100 |
| Number of Questions | 100 |
This JSON aggregates the OCR-derived exam overview and page-2 repaired questions for the Mathematics paper of the Lecturer in Applied Science (Mathematics) Advt 11/2021 (2021) conducted by the Haryana Government. Page 1 provides examination logistics: duration of 2 hours, maximum marks 100, English-language questions, and standard OMR-based answering with penalties for wrong answers. Page 2 (repair OCR) contains multiple-choice questions spanning vector calculus, linear algebra, and multivariable calculus, including items on double integrals, normal vectors to surfaces, matrix powers (A^5), and directional derivatives, along with garbled but identifiable stems that have been structured into distinct questions. The two pages together form the complete MCQ exam aside from descriptive components not present in the OCR. This dataset is prepared for SEO, with structured sections, metadata, and image SEO ready for both pages.
Major Topics Covered
- Vector calculus
- Double integrals
- Curl and divergence
- Irrrotational vector fields
- Normal vectors to surfaces
- Surface equations
- Gradient
- Matrix algebra
- Matrix powers
- A^5
- Linear algebra
- Orthogonality
- Directional derivatives
- Maximum directional derivative
- Multivariable calculus
- Partial derivatives
- Eigenvalues
- Linear transformations
- Matrices and vectors
- Gauss/Cauchy relations
Why This Paper is Important
- Useful for Lecturer in Applied Science (Mathematics preparation
- Helps understand the latest exam pattern
- Useful for practice and self-assessment
- Covers frequently asked General Studies topics
- Helpful for analysing question trends
Related Resources
Instructions
- IMMEDIATELY AFTER THE COMMENCEMENT OF THE EXAMINATION, YOU SHOULD CHECK THAT THIS QUESTION BOOKLET DOES NOT HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR QUESTIONS ETC.
- IF SO, GET IT REPLACED BY A COMPLETE QUESTION BOOKLET.
- Please note that it is the candidate's responsibility to encode and fill in the Roll Number and Question Booklet Series Code A, B, C or D carefully and without any omission or discrepancy at the appropriate places in the OMR Answer Sheet.
- Any omission/discrepancy will render the OMR Answer Sheet liable for rejection.
- This Question Booklet contains 100 questions.
- Each question is printed in English only.
- Each з. question comprises four responses (answers).
- You will select the response which you want to mark on the OMR Answer Sheet.
- In case you feel that there is more than one correct response, mark the response which you consider the best.
- In any case, choose ONLY ONE response for each question.
- You have to mark all your responses ONLY on the separate OMR Answer Sheet provided.
- See Instructions at the backside of the OMR Answer Sheet.
- Before you proceed to mark in the OMR Answer Sheet the response to various questions in the Question Booklet, you have to fill in some particulars in the OMR Answer Sheet as per instructions mentioned on the OMR Answer Sheet.
- After you have completed filling in all your responses on the OMR Answer Sheet and the examination has concluded, you should hand over to the Invigilator only the OMR Answer Sheet.
- You are permitted to take away with you the Question Booklet, along with candidate's copy of OMR Answer Sheet.
- Sheets for rough work are appended in the Question Booklet at the end.
- Penalty for wrong answers: THERE WILL BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE AS UNDER.
Questions (page 2)
Formatted from page 2 OCR. Download the PDF for the full paper.
1. The value of double integral
(1) The
(2) value
(3) of
(4) double
(5) integral
2. Find a vector normal to the surface [B] \binom{21}{22} \frac{11}{10} 2x^2 + 3y^2 + z = 6 at the point (1,-1,1).
(1) 4\hat{i}
(2) +
(3) 6\hat{j}
(4) -
(1) 6
(2) at
(3) the
(4) point
(5) (1,-1,1).
3. If A = 3x\hat{i} + 4y\hat{j} + z\hat{k} ,
(1) +
(2) 4y\hat{j}
(3) z\hat{k}
(4) ,
4. Find the maximum directional
(1) Find
(2) the
(3) maximum
(4) directional
5. \text{Find} that the \alpha SO vector \vec{F} = \alpha y \hat{i} + 4x \hat{j} + 2z \hat{k} is irrotational.
(1) \left(\frac{2-\sqrt{2}}{2}\right)a^2
(2) [D]
(3) -4
(4) [C]
(1) +
(2) 2z
(3) \hat{k}
(4) is
(5) irrotational.
6. If A = \begin{pmatrix} 1 & 1 \\ 2 & 0 \end{pmatrix} , then A^5 is \text{[D]} \left(\frac{2+\sqrt{2}}{2}\right) a^2 [A] \begin{pmatrix} -21 & 11 \\ 22 & -10 \end{pmatrix}
(1) \\
(2) 22
(3) &
(4) -10
(5) \end{pmatrix}
7. The characterization of an orthogonal then the matrix A is divergence of curl A is [A] 8 [A] A^{-1}A = I [B] 3 \hat{i} + 4 \hat{j} + \hat{k} [B] AA^{-1} = I [C] \vec{0} [C] AA^T = I [D] 0 [D] A^{-1}A^{T} = I
(1) [D]
(2) A^{-1}A^{T}
(3) =
(4) I
8. The function f(x) = x \sin(1/x) derivative οf the function at f(x,y) = x \ln y + x^2 y^2 at the point x = 0 is (1, 1).
(1) continuous
(2) Applied
(3) Science
(4) (Mathematics)/11-A
(1) x
(2) =
(3) is
(4) (1,
(5) 1).
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Frequently asked questions
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Use the Download PDF button on this page to save the official Lecturer in Applied Science (Mathematics) (2021) Applied Science (Mathematics) — Question Paper paper hosted on QuizCurrent.
Who conducts the Lecturer in Applied Science (Mathematics)?
The Lecturer in Applied Science (Mathematics) is conducted by Haryana Government. This portal reproduces the scanned question paper for practice and revision.
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Yes. Page 1 instructions and page 2 questions are extracted from the official PDF OCR so you can read them without downloading.
How many questions are on this paper?
The paper lists 100 questions as per the official booklet.