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

Subject

Mathematics

Class

CBSE Class 12

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 Multiple Choice QuestionsShort Answer Type

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1.

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


fog(x) = f {g(x)}

          =  f(x - 7)

          =  {(x - 7) + 7}

          =  x

 fog (7) = 7


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2.

Evaluate:   sinπ3 - sin-1 12


3.

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


4.

Evaluate: a + ibc + id-c + ida - ib


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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


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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?


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