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If matrix A=[[1,-1],[-1 ,1]] and A^2=k A...

If matrix `A=[[1,-1],[-1 ,1]]` and `A^2=k A ,` then write the value of `k`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Solve the following differential equation: x(dy)/(dx)=y-xtan(y/x)

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  2. Find the distance of the point P(6,5,9) from the plane determined b...

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  3. If matrix A=[[1,-1],[-1 ,1]] and A^2=k A , then write the value of k

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  4. Find the points on the line (x+2)/3=(y+1)/2=(z-3)/2\ at a distance...

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  5. Evaluate: int(x^4\ dx)/((x-1)(x^2+1))

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  6. If y=cos^(-1)((3x+4\ sqrt(1-x^2))/5),\ "f i n d"(dy)/(dx)

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  7. Evaluate the following: int1^2(5x^2)/(x^2+4x+3)\ dx

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  8. If y=e^a\ sin^((-1x))\ ,\ -1\ lt=x\ lt=1, then show that (1-x^2)...

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  9. Find the coordinates of the foot of the perpendicular and the perpe...

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  10. A bag contains 4 balls. Two balls are drawn at random, and are foun...

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  11. One kind of cake requires 300g of flour and 15g of fat, another kin...

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  12. If the length of three sides of a trapezium other than the base is ...

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  13. Using matrix method, solve the following system of equations: 2/x+...

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  14. Using elementary transformations, find the inverse of the matrix [[1...

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  15. Solve the following differential equation: [(e^(-2\ sqrt(x)))/(sqrt(x)...

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  16. Solve the following differential equation: 3e^xtany\ dx+(2-e^x)sec^2y\...

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  17. Using properties of determinants, prove that |[a, a+b, a+b+c],[2a,3...

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  18. Write the direction cosines of a line parallel to z-axis.

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  19. If f(x)=(4x+3)/(6x-4) ,\ x\ !=2/3, show that fof(x)=x for all x!=2/3do...

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  20. Evaluate: int(cos2x-cos2alpha)/(cosx-cosalpha)\ dxdot

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