If   2  35  7   1-&n

Subject

Mathematics

Class

CBSE Class 12

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Sample Papers

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 Multiple Choice QuestionsShort Answer Type

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1.

If   2  35  7   1- 3- 2         4   =   - 4  6- 9  x ,  write the value of x.


 2   35   7        1 - 3- 2     4    =    - 4   6- 9   x   - 4   6- 9   13   =   - 4   6- 9   x 

By equality of matrices,

x = 13.


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2.

Let * be a ‘binary’ operation on N given by a * b = LCM  ( a, b ) for all  a, b  N. Find 5 * 7.


3.

Write the principal value of  cos-1  12  - 2 sin-1  - 12 .


4.

Simplify: cos θ   cos θ   sin θ- sin θ     cos θ  + sin θ   sin θ     - cos θcos θ            sin θ  


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5.

If  =  5  3 8  2   0  1  1  2 3  ,  white the cofactor of the element a32.


6.

Evaluate ( 1 - x )   x  dx


7.

Evaluate: 23 1x  dx


8.

Find ' λ ' when the projection of  a = λ i^ + j^ + 4 k^    on    b = 2 i^ + 6 j^ + 3 k^  is  4  units.


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9.

If a line has direction ratios 2,-1,-2 then what are its direction cosines?


10.

Find the sum of the following vectors: 

a = i^ - 2 j^ ,       b = 2 i^ - 3 j^ ,    c =2 i^ + 3 k^.


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