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If A = [ (-3 , 2) , (1, -1)] and I = [(1...

If `A = [ (-3 , 2) , (1, -1)]` and `I = [(1,0) , (0, 1)]`, find the scalar k so that `A^2 +I = kA`.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. the interval in which the function f given by f(x) = x^2 e^(-x) is str...

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  2. tan^(-1)3 + tan^(-1) lambda = tan^(-1) {(3+ lamda)/(1- 3 lamda)} is va...

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  3. If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...

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  4. Amongst all open (from the top) right circular cylindrical boxes of vo...

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  5. Find the probability distribution of the random variable x,which denot...

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  6. If A is a non-singular square matrix of order 3 such that A^2= 3A, the...

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  7. Find the area, lying above the x-axis and included between the circle ...

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  8. check whether the relation R in the set N of natural numbers given by ...

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  9. Given a skew symmetric matrix A = [ (0, a , 1),(-1, b, 1),(-1, c, 0)],...

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  10. Using the method of integration find the area of the triangle ABC, co...

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  11. Find the points of intersection of the line vecr = (2hati - hatj + 2h...

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  12. Prove that tan^(-1) (1/4) + tan^(-1) (2/9) = 1/2 sin^(-1) (4/5)

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  13. The vectors 3 hat i- hat j +2 hat k', 2 hat i+hat j + 3 hat k and hat ...

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  14. Find : int{(x^3 + 1)/(x^3-x)}dx

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  15. If tan^(-1)(Y/X) = log (sqrt(X^2+Y^2)) , prove that (dy/dx) = ((X+Y)/(...

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  16. Find the shortest distance between the lines vecr = 2hati - hatj + hat...

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  17. Find: int((tan^(3)x)/(cos^(3)x)) dx

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  18. Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...

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  19. Find f'(x) if f(x) = tan x^(tan x)

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  20. If y=e^(acos^(-1)x),-1lt=x<1, show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(d...

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