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Find the inverse of A=[[3,-1],[-4,1]] us...

Find the inverse of `A=[[3,-1],[-4,1]]` using elementary transformations.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Form the differential equation representing the family of ellipses ...

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  2. Prove the following, using properties of determinants: |[a+b+2c,a,b],[...

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  3. Find the inverse of A=[[3,-1],[-4,1]] using elementary transformations...

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  4. Using properties of determinants, prove the following |(a^2+1,ab,ac),(...

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  5. If y=(t a n^(-1)\ x)^2 , show that (x^2+1)^2(d^2\ y)/(dx^2)+2x(x^2+1)(...

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  6. If veca,vecb, vecc are three vectors such that |veca |= 5, |vecb| =...

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  7. Solve the following differential equation: 2x^2(dy)/(dx)-\ 2x y+y^2=0

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  8. Find the particular solution of the following differential equation...

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  9. Let * be a binary operation of N given by a*b=L C M\ (a , b) for all ...

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  10. Evaluate: int(2x)/((x^2+1)(x^2+3))\ dx

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  11. Evaluate: int(5x+3)/(sqrt(x^2+4x+10))\ dx

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  12. Find the Vector and Cartesian equations of the line passing through...

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  13. Evaluate : int((x-4)e^x)/((x-2)^3)\ dx

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  14. Show that y=log(1+x)-(2x)/(2+x), x gt 1 is an increasing function of x...

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  15. Find the equation of the normal at the point (a m^2, a m^3) for the ...

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  16. Evaluate : int(e^x)/(sqrt(5-4e^x-\ e^(2x)))\ dx

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  17. Find the relationship between a and b so that the function f defined...

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  18. If x^y=e^(x-y), show that (dy)/(dx)=(logx)/({log(x e)}^2)

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  19. Obtain the inverse of the following matrix, using elementary operation...

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  20. Using matrices, solve the following system of equations: x+y+z=6; x...

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