CBSE Class 12 Mathematics Question Paper 2014 Code 65/1/3 (Compartment)

CBSE Class 12 Mathematics Question Paper 2014 Code 65/1/3 (Compartment) is available for download here. CBSE conducted the Class 12 Mathematics exam on July 16, 2014 from 10:30 AM to 1:30 PM. The Mathematics theory paper is of 100 marks.

Also Check: CBSE Class 12 Question Paper 2014 (All Subjects)

The Mathematics question paper includes the following types of questions:

The question paper has 29 questions, all compulsory, for 100 marks in 3 hours, with 15 minutes of extra reading time
Section A has 10 questions of 1 mark each (10 marks), to be answered in one word, one sentence or as per the exact requirement of the question
Section B has 12 questions of 4 marks each (48 marks), with internal choice in 4 questions
Section C has 7 questions of 6 marks each (42 marks), with internal choice in 2 questions
There is no overall choice and the use of calculators is not permitted

CBSE Class 12 Mathematics Question Paper 2014 Code 65/1/3 (Compartment) PDF

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CBSE Class 12 Mathematics 2014 Question Paper Details

Exam	CBSE Class 12 Board Examination 2014
Subject	Mathematics
Paper code	65/1/3 (Compartment)
Exam date	July 16, 2014
Time allowed	3 hours (plus 15 minutes of reading time, 10:15 AM to 10:30 AM)
Maximum marks	100
Total questions	29 (attempt 29)

CBSE Class 12 Mathematics Question Paper Pattern and Marking Scheme

The CBSE Class 12 Mathematics 2014 question paper is of 100 marks and has 29 questions, of which 29 are to be attempted. The tables below give the section-wise paper pattern and the split of marks, as printed in the official question paper.

CBSE Class 12 Mathematics Question Paper Pattern 2014

Section	Questions	Question Type	Choice	Marks per Question	Marks
Section A	Q1-Q10	Very short-answer questions (one word, one sentence or as per the exact requirement)	All 10	1	10
Section B	Q11-Q22	Short-answer questions, with internal choice in 4 questions	All 12	4	48
Section C	Q23-Q29	Long-answer questions, with internal choice in 2 questions	All 7	6	42
Total	29 questions		Attempt 29		100

CBSE Class 12 Mathematics Marks Distribution 2014

Question Type	Questions to Attempt	Marks per Question	Total Marks
Very short-answer questions (one word, one sentence or as per the exact requirement) (Section A)	10	1	10
Short-answer questions, with internal choice in 4 questions (Section B)	12	4	48
Long-answer questions, with internal choice in 2 questions (Section C)	7	6	42
Total	29		100

CBSE CLASS XII Questions

1.
Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).

View Solution

2.
For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :
Minimize \(Z = 18x + 10y\)
subject to constraints
\[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]

View Solution

3.
Find the value of \(x\) if \(A = B\), where
\[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]

View Solution

4.
If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

\(0.35\)
\(0.85\)
\(0.5\)
\(0.21\)

View Solution

5.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

View Solution

6.
Evaluate :
\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

View Solution

CBSE Class 12 Mathematics Question Paper 2014 Code 65/1/3 (Compartment)

CBSE Class 12 Mathematics Question Paper 2014 Code 65/1/3 (Compartment) PDF

CBSE Class 12 Mathematics 2014 Question Paper Details

CBSE Class 12 Mathematics Question Paper Pattern and Marking Scheme

CBSE Class 12 Mathematics Question Paper Pattern 2014

CBSE Class 12 Mathematics Marks Distribution 2014

CBSE CLASS XII Questions

1.
Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).

2.
For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :
Minimize \(Z = 18x + 10y\)
subject to constraints
\[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]

3.
Find the value of \(x\) if \(A = B\), where
\[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]

4.
If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

5.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

6.
Evaluate :
\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

Comments

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CBSE Class 12 Mathematics Question Paper 2014 Code 65/1/3 (Compartment) PDF

CBSE Class 12 Mathematics 2014 Question Paper Details

CBSE Class 12 Mathematics Question Paper Pattern and Marking Scheme

CBSE Class 12 Mathematics Question Paper Pattern 2014

CBSE Class 12 Mathematics Marks Distribution 2014

CBSE CLASS XII Questions

1.Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).

2.For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :Minimize \(Z = 18x + 10y\)subject to constraints\[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]

3.Find the value of \(x\) if \(A = B\), where\[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]

4.If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

5.If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

6.Evaluate :\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).

2.
For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :
Minimize \(Z = 18x + 10y\)
subject to constraints
\[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]

3.
Find the value of \(x\) if \(A = B\), where
\[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]

4.
If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

5.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

6.
Evaluate :
\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]