Mathematics 2014 sample paper and blue print

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Saturday, March 27, 2010
4:59 PM

Annexure 'F'

Unfiled Notes Page 1

CLASS-XII

Unfiled Notes Page 5

Unfiled Notes Page 6

Unfiled Notes Page 7

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Unfiled Notes Page 8

SAMPLE QUESTION PAPER
MATHEMATICS
CLASS –XII (2013-14)
BLUE PRINT
Unit
I.

VSA (1)
Relations and Functions

SA (4)

LA (6)...

SECTION–A
Question number 1 to 10 carry 1 mark each.
1.

Write the smallest equivalence relation R on Set A = {1, 2, 3}.

...

12.

If a + b + c  o and |

|

, then using properties of determinants, prove

that a = b = c.
13.

Evaluate: ∫(

)√ –

–...

remain reserved. For a health camp, three doctors are selected at random. Find
the probability distribution of the number ...

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difficulties of a common man the company charges a nominal profit of Rs. 20 on a
unit of type B. Using LPP, solve the prob...

MARKING SCHEME
SECTION–A
1.

R = {(

2.

2a2

1

3.

√

1

4.

)(

)(

)}

1

1

√

5.

–

6.

–
(

7.

k=–

1

–

)

1

1...

(

)

(

–
–

=
)

(

)

)

(

=

–

–

is associative

1

Let e be the identity,
Then a * e = a  a + e – ae = a  e (1–a...

∫ √( – )

= ∫( – )√ –
(

=

) ⁄

–

= [

[

–

√ –

]

–

[√

½

|( – )

⁄

(

–

√ –

√

–

|

]

1

– )

– )|

|(

]

1
...

Let the points be A (3, –2, –1), B (2, 3, –4), C (–1, 1, 2) and D (4, 5, )
⃗⃗⃗⃗⃗⃗

̂– ̂

– ̂̇

⃗⃗⃗⃗⃗⃗
̂

̂
̂

)̂

1½

A, ...

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16.

–

LHS =

–

=

–

=

–

–

–

½

–

–

=

–

–

1

–
–

½
–

–

1½

–

= cot –1 3=RHS

½
OR

(

–

)

(

–

)

–

=(...

differential equation is homogeneous.
let

= v or y = vx

v+x

=v+x
or ∫

= v+√

log|v + √
y+√
18.

½
=∫

√

1

v+√

| = l...

It is expected that a doctor must be
 Qualified
 Very kind and cooperative with the patients
20.

2

g(x) = |x-2| = {

½...

22.

Solving xy = a2 and x2+y2 = 2a2 to get x =

a

for x = a, y = a and x = -a, y = -a
i.e the two curves intersect at P ...

SECTION – D
23.

A vector

⃗⃗ = |

to the plane is parallel to ⃗⃗⃗⃗⃗⃗

̂

̂

̂

| = – ̂̇ –

̂
̂

⃗⃗⃗⃗⃗⃗

1

̂̇– ̂

̂̇

1½
...

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24.

let the company manufactures sweaters of type A = x, and that of type B = y. daily
LPP is Maximise P = 200x + 20y
s.t...

=

–[

=

–

⁄

[

1

[ ]

∫

]

+

–

=
26.

]

1
log 2

1

Correct figure:

1

Correct Figure

1

Solving x2 + y2 = 1 an...

27.

let E1 : randomly selected seed is A1 type P(E1) =
E2 : randomly selected seed is A2 type P(E2) =

1

E3 : randomly s...

5

P(A/E1)

=

P(A/E2)

=

P(E1/A)

=

C2
=
C2

4

C2
=
C2

1

or

10

1

) ( | )
) ( | ) ( ) ( |
(

(

=
28.

or

10

½

...

=1
=o
=

1
x2 = 2a

x=√

>o

½

for minimum length L = √
x=√
x = 2y

1

and breadth y =

√

+
=

√

√

= √
= x

1
1
½

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