Subject

Mathematics

Class

CBSE Class 12

Pre Boards

Practice to excel and get familiar with the paper pattern and the type of questions. Check you answers with answer keys provided.

Sample Papers

Download the PDF Sample Papers Free for off line practice and view the Solutions online.
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 Multiple Choice QuestionsShort Answer Type

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1.

If A =   cosα  - sinαsinα     cosα , then for what value of α is A an identity matrix?


2.

What is the principal value of cos-1 -32 ?


3.

What is the range of the function f(x) =  x - 1  x - 1 ?


4.

Find the minor of the element of second row and third column ( a23 ) in the following determinant:

  2  -3   56   0  41   5 -7  


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5.

If  1  23  4    3  12   5   =  7   11k   23 , then write the value of k.


6.

Evaluate: log xx dx


7.

What is the cosine of the angle which the vector 2 i^ + j^ + k  makes with y-axis?


8.

Write a vector of magnitude 15 units in the direction of vector  i^ - 2j^ + 2k


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9.

Write the vector equation of the following line:

x - 53 = y + 47 = 6 - z2


10.

What is the degree of the following differential equation?

5x 5x dydx2 - d2ydx2 - 6y = log x


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