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Let f:RrightarrowR be defined as f(x)=3x...

Let `f:RrightarrowR` be defined as `f(x)=3x`. Then f is one-one and onto

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

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  2. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

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  3. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

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  4. Find the number of binary operations on the set {a,b}.

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  5. If A, B are symmetric matrices of same order, then find AB-BA.

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  6. Let A be square matrix of order 3times3, then find abs(KA) where, k is...

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  7. If A is an invertible matrix of order 2, then find det(A^(-1)).

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  8. Find intx^2e^(x^3)dx

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  9. Give an example of a homogeneous differential equation.

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  10. In triangle ABC, find vec(AB)+vec(BC)+vec(CA)

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  11. Let the vectors veca and vecb such that abs(veca)=3 and abs(vecb)=frac...

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  12. Are the planes 2x-y+4z=5 and 5x-25y+10z=6 are perpendicular?

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  13. Find fog(2) and gof(1), when f:RrightarrowR defined by f(x)=x^2+8 and ...

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  14. Solve cos^(-1)x+sin^(-1)frac[x][2]=frac[pi][6].

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  15. Solve LPP: Maximize Z=5x1+7x2 subject to the constrains 3x1+4x2le12,x1...

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  16. Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...

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  17. Prove the following "tan"^(-1)(2a-b)/(bsqrt(3))+"tan"^(-1)(2b-a)/(as...

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  18. Express A=[[2,-2,-4],[-1,3,4],[1,-2,-3]] as the sum of a symmetric and...

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  19. Using the properties of determinants, show that abs[[1+a^2-b^2,2ab,-2b...

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  20. If A=[{:(costheta,sintheta),(-sintheta,costheta):}], then prove that ...

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