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Find the angle between unit vector veca ...

Find the angle between unit vector `veca` and `vecb` so that `sqrt(3)` `veca` - `vecb` is also a unit vector.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. The angle between the vectors hat i -hat j and hat j - hat k is (A)...

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  2. A fair dice is thrown two times. Find the probability distribution of ...

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  8. Find the principal value of: cos^(-1)(-1/2)

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  9. Show that the plane x-5y-2z =1 contains the line (x-5)/3 = y = 2- z

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  10. If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[...

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  11. If | (2x, -9), (-2, x) | = |(-4,8) , (1, -2)|, then value of x is

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  12. If A is a non- singular square matrix of the order 3xx3 such that A^2=...

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  13. If P(1,0,-3) is the foot of the perpendicular from the origin to the p...

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

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  17. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

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  18. A cottage industry manufactures pedestal lamps and wooden shades.Both ...

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

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  20. If tan^(-1) (y/x) = log sqrt(x^(2) + y^(2)), prove that dy/dx = (x+y)/...

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