Evaluate: a + ibc + id-c + ida

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.

If f(x) = x + 7 and g(x) = x – 7, x  R, find (fog) (7)


2.

Evaluate:   sinπ3 - sin-1 12


3.

Find the value of x and y if: 2130x  + y012  = 5618


Advertisement

4.

Evaluate: a + ibc + id-c + ida - ib


a + ibc + id-c + ida - ib    =  (a + ib) (a - ib) - (c + id) (-c + id)                                 = ( a2  - i2b2) -  (-c2 +  i2d2)                                 =    ( a2  + b2) -  (-c2 -  d2)         .........( i2 = -1)                                 =   a2  + b2 +c2 +  d2)


Advertisement
Advertisement
5.

Find the co-factor of a12 in the following:

2-3560415-7


6.

Evaluate: x21 + x3dx


7.

Evaluate: 04dx1 + x2 dx


8.

Find a unit vector in the direction of  a = 3i ^ - 2j^ + 6k


Advertisement
9.

Find the angle between the vectors a = i^ - j^ + k^    and   b = 1^ + j^ - k^ 


10.

For what value of λ are the vectors  a = 2i^ + λ j^ + k^  and  b = i^ - 2j^ -3k^  are perpendicular to each other?


Advertisement