Write the direction cosines of the vector  - 2&nbs

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.
Advertisement

 Multiple Choice QuestionsShort Answer Type

1.

State the reason for the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} not to be transitive.


2.

Write the value of  sin  π3 - sin-1  - 12 


3.

For a 2 x 2 matrix, A = [ aij ] whose elements are given by  aijij,  write the value of a12 .


4.

For what value of x, the matrix  5 - x     x + 12     4  is singular?


Advertisement
5.

Write  A-1  for A =  2  51  3 


6.

Consider the binary operation * on the set {1, 2, 3, 4, 5} defined by a * b = min {a, b}. Write the operation table of the operation *.


7.

Write the value of  sec x  sec x + tan x  dx


8.

Write the value of  dxx2 + 16


Advertisement
9.

For what value of ‘a’ the vectors   2 i^  - 3 j^ + 4 k    and   a i^  + 6 j^  - 8 k   are collinear?


Advertisement

10.

Write the direction cosines of the vector  - 2 i^ + j^ - 5 k.


The direction cosines of the given vector  - 2 i^ + j^ - 5 k  is given by- 2  - 2 2 +  1 2 +  - 5 2 ,  1  - 2 2 +  1 2 +  - 5 2 ,  - 5  - 2 2 +  1 2 +  - 5 2  =  - 2 30,  1 30,  - 5 30 


Advertisement
Advertisement