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Two mappings f:R to R and g:R to R are d...

Two mappings `f:R to R` and `g:R to R` are defined as follows:
`f(x)={(0,"when x is rational"),(1,"when x is irrational"):}` and
`g(x)={(-1,"wnen x is rational"),(0,"when x is irrational"):}` then the value of `[(gof)(e)+(fog)(pi)]` is -

A

0

B

-1

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 5
  1. Two mappings f:R to R and g:R to R are defined as follows: f(x)={(0...

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  2. Let S be the set of real numbers. Then the relation R={(a, b):1+ab gt ...

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  3. If R denotes the set of all real numbers then the mapping f:R to R de...

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  4. If hata and hatb are two unit vectors inclined at an angle theta, the...

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  5. The value of p for which the vectors 60hati+3hatj, 40hati-8hatj and ph...

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  6. The range of the function f(x) =sin (sin ^(-1) x+cos ^(-1)x) (|x| le 1...

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  7. The vector equation of the line passing through the points (2, -3, 1)...

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  8. If f (x) =(3x+2)/(5x-3) (x ne (3)/(5)), then which one of the followin...

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  9. Let f(x)=sin x+cosx and g(x)=x^(2)-1, then g{f(x)} is invertible if -

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  10. ABCD is a quadrilateral,AB and CD are parallel, P and Q are the midpo...

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  11. If "sin"^(-1)(5)/(x)+"sin"^(-1)(12)/(x)=(pi)/(2), then the value of x ...

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  12. The chance of throwing a total of 7 or 12 with two dice is -

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  13. Five horses are in a race. Mr. A selects two of the horses at random ...

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  14. For three events A, B and C, if P(B)=(3)/(4),P(A^(c ) cap B cap C^(c )...

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  15. In tossing a fair coin twice, let A and B denote the events of occurre...

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  16. A bag X contains 2 white and 3 black balls and another bag Y contains ...

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  17. A five digit number of formed by writing the digits 1, 2, 3, 4, 5 in ...

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  18. The value of the determinant |(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),...

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  19. If |(cos(A+B),-sin(A+B),cos2B),(sinA,cosA, sinB),(-cosA, sinA, cosB)|=...

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  20. If |(x,-3i,1),(y,1,i),(0,2i,-i)|=6+11i, then the values of x and y ar...

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