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Find the principal value of tan^(-1)sqrt...

Find the principal value of `tan^(-1)sqrt(3)-sec^(-1)(-2)`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If A^T=[3 4-1 2 0 1]\ and B=[-1 2 1 1 2 3], then find A^T-\ B^T

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  2. Let A be a square matric of order 3\ xx\ 3 . Write the value of 2A ...

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  3. Find the principal value of tan^(-1)sqrt(3)-sec^(-1)(-2)

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  4. Find the value of x+y from the following equation: 2[(x,5),(7y,-3)]+[(...

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  5. Prove The following: "cos"(sin^(-1)\ 3/5+cot^(-1)\ 3/2)=6/(5\ sqrt(13)...

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  6. The magnitude of the vector product of the vector hat i+ hat j+ hat k...

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  7. Evaluate: int0^pi(xtanx)/(secx+tanx)\ dx

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  8. Write the value ( hat ixx hat j)dot hat k+ hat idot hat jdot

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  9. Find the scalar components of the vector vec A B with initial point A...

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  10. Show that : int0^(pi/2)(sin^2x)/(sinx+cosx)dx=1/(sqrt(2))log(sqrt(2)+1...

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  11. Evaluate: int(x^3)/(x^4+3x^2+2)dx

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  12. Find : int(sqrt(x^2+1)(log(x^2+1)-2logx)/(x^4)dx

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  13. Find : int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)s...

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  14. In a game, a man wins rupees five for a six and loses rupee one for...

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  15. An urn contains 4 balls. Two balls are drawn at random from the urn...

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  16. Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3

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  17. Find the value of cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

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  18. One kind of cake requires 200 g of flour and 25 g of fat, another k...

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  19. Using integration, find the area of the triangle PQR, coordinates o...

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  20. A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, ...

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