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Let f:R to R be defined by f(x)=x|x|, th...

Let `f:R to R` be defined by `f(x)=x|x|`, then the function f is -

A

one-one only

B

onto only

C

neither one-one nor onto

D

one-one and onto

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
  1. If the points with position vectors 2hati+6hatj, hati+2hatj and m hati...

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  2. Let R={(3,3),(6,6),(9,9),(12,12), (6,12),(3,9),(3,12),(3,6)} be a rela...

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  3. Let f:R to R be defined by f(x)=x|x|, then the function f is -

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  4. If f:R to R, g:R to R and h : R to R be defined respectively by f(x)=s...

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  5. Let R be the set of real numbers and f:R to R be defined by f(x)=2x^(2...

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  6. If f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))+2, then the value of f^(-1)(x) ...

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  7. If I is the unit matrix of order 10xx10, then the determinant of I is...

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  8. If A and B are two square matrices of the same order, then (A-B)^(2) i...

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  9. The root of the equation |(x,3,7),(2,x,-2),(7,8,x)|=0 are -

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  10. The value of the determinant |(5^(2),5^(3),5^(4)),(5^(3),5^(4),5^(5))...

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  11. If A=|(-1,2,4),(3,1,0),(-2,4,2)|and B=|(-2,4,2),(6,2,0),(-2,4,8)|, the...

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  12. For how many values of x in the closed interval [-4, -1], the matrix [...

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  13. [(7,1,2),(9,2,1)]xx[(3),(4),(5)]+2[(4),(2)] is equal to the matrix-

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  14. If C=2cos theta, then the value of the determinant D=|(C,1,0),(1,C,1)...

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  15. If A=[(3,4),(5,7)], then the value of A(adjA) is equal to -

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  16. The value of the determinant |((1)/(a),1,bc),((1)/(b),1,ca),((1)/(c),...

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  17. If [(x+y,2x+z),(x-y,2z+w)]=[(4,7),(0,10)] then the values of x, y, z a...

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  18. The matrix [(2,lambda,-4),(-1,3,4),(1,-2,-3)] is non-singular if -

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  19. The domain of defination of the function f(x) =sqrt((sqrt(x+1))/(sqrtx...

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  20. The period of the function sin^(4)x+cos^(4)x is -

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