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If the matrix A = [[0,a,-3],[2,0,-1],[b,...

If the matrix `A = [[0,a,-3],[2,0,-1],[b,1,0]]` is skew symmetric, find the value of `a` and `b`.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. Integrate the functions (cos2x+2sin^2x)/(cos^2x)

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  2. Find the differential equation representing the family of curves y=ae^...

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  3. If the matrix A = [[0,a,-3],[2,0,-1],[b,1,0]] is skew symmetric, find ...

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  4. If theta is the angle between two vectors hati-2hatj+3hatk and 3hati-2...

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  5. Find the magnitude of each of the two vectors veca and vec b having th...

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  6. A black and a red dice are rolled. (a)   Find the conditional proba...

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  7. Using properties of determinants prove that |(1,1, 1+3x),(1+3y,1,1),(1...

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  8. Find (dy)/dx, if (x^2+y^2)^2=xy

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  9. If a * b, denoted the larger of 'a' and 'b' and if a o b = a*b + 3 , ...

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  10. If x=a(2theta-sin2theta) and y=a(1-cos2theta) find (dy)/(dx) when thet...

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  11. If y="sin"(sinx),"p r o v et h a t" (d^2y)/(dx^2)+tanx(dy)/(dx)+yco...

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  12. Prove that: 3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]

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  13. Find the area of the region in the first quadrant enclosed by the x...

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  14. Find the equations of the tangent and the normal to the curve 16x^2+9y...

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  15. Find the intervals in which the function f(x)=x^4/4-x^3-5x^2+24x+12 is...

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  16. Evaluate : int(0)^(pi/4) (sinx+ cos x)/( 16 + 9sin2x)

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  17. Evaluate : int1^3 (x^2 + 3x + e^x) dx as the limit of the sum.

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  18. An open tank with a square base and vertical sides is to be constructe...

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  19. Find int (2cosx)/((1-sinx)(1+sin^2x)) dx

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  20. Find the particular solution of the differential equation e^xtanydx+(2...

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