CBSE Class 12 Mathematics Question Paper 2009 Code 65/1

CBSE Class 12 Mathematics Question Paper 2009 Code 65/1 is available for download here. CBSE conducted the Class 12 Mathematics exam on March 21, 2009 from 10:30 AM to 1:30 PM. The Mathematics theory paper is of 100 marks.

Also Check: CBSE Class 12 Question Paper 2009 (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 2009 Code 65/1 PDF

CBSE Official PDF	CD PDF	CD PDF with Solutions
Download official PDF 1.75 MB	Download Collegedunia PDF 0.21 MB	–

CBSE Class 12 Mathematics 2009 Question Paper Details

Exam	CBSE Class 12 Board Examination 2009
Subject	Mathematics
Paper code	65/1
Exam date	March 21, 2009
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 2009 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 2009

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 2009

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.
Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

\( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
\( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
\( \frac{2\sqrt{\cos x}}{\sin x} \)
\( \frac{1}{\sin x\sqrt{\cos x}} \)

View Solution

2.
\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

\( \log \cos 2x + C \)
\( \sec^{2} 2x + C \)
\( e^{x}\tan x + C \)
\( e^{x}\cot x + C \)

View Solution

3.
Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).

View Solution

4.
For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.
Minimize \(Z = 5x + 7y\)
subject to constraints
\[ 2x + y \geq 8 \]
\[ x + 2y \geq 10 \]
\[ x,\ y \geq 0. \]

View Solution

5.
Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).

View Solution

6.
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

CBSE Class 12 Mathematics Question Paper 2009 Code 65/1

CBSE Class 12 Mathematics Question Paper 2009 Code 65/1 PDF

CBSE Class 12 Mathematics 2009 Question Paper Details

CBSE Class 12 Mathematics Question Paper Pattern and Marking Scheme

CBSE Class 12 Mathematics Question Paper Pattern 2009

CBSE Class 12 Mathematics Marks Distribution 2009

CBSE CLASS XII Questions

1.
Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

2.
\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

3.
Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).

4.
For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.
Minimize \(Z = 5x + 7y\)
subject to constraints
\[ 2x + y \geq 8 \]
\[ x + 2y \geq 10 \]
\[ x,\ y \geq 0. \]

5.
Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).

6.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

Comments

SUBSCRIBE TO OUR NEWS LETTER

CBSE Class 12 Mathematics Question Paper 2009 Code 65/1 PDF

CBSE Class 12 Mathematics 2009 Question Paper Details

CBSE Class 12 Mathematics Question Paper Pattern and Marking Scheme

CBSE Class 12 Mathematics Question Paper Pattern 2009

CBSE Class 12 Mathematics Marks Distribution 2009

CBSE CLASS XII Questions

1.Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

2.\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

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

4.For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.Minimize \(Z = 5x + 7y\)subject to constraints\[ 2x + y \geq 8 \]\[ x + 2y \geq 10 \]\[ x,\ y \geq 0. \]

5.Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).

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

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

2.
\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

3.
Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).

4.
For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.
Minimize \(Z = 5x + 7y\)
subject to constraints
\[ 2x + y \geq 8 \]
\[ x + 2y \geq 10 \]
\[ x,\ y \geq 0. \]

5.
Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).

6.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]