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What is the principal value of `sin^(-1)(-(sqrt(3))/2)\ ?`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. What is the range of the function f(x)=(|x-1|)/((x-1))?

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  2. If A=[[cos alpha,-sin alpha],[sin alpha,cos alpha]], then for what val...

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  3. What is the principal value of sin^(-1)(-(sqrt(3))/2)\ ?

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  4. Find the equation of the plane through the points (2, 1, 1) and (1, ...

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  5. Find the shortest distance between the following lines: (x+1)/7=(y+1)...

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  6. A cottage industry manufactures pedestal lamps and wooden shades, e...

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  7. A factory has two machines A and B. Past record shows that machine A...

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  8. Find the inverse of the following matrix using elementary operations: ...

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  9. Using properties of determinants, prove the following: |[x,x^2,1+px^3]...

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  10. Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)

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  11. Solve the following for x : cos^(-1)((x^2 - 1)/(x^2 + 1))+t a n^(-1...

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  12. Using matrices, solve the following system of equations: x\ -\ y+z...

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  13. If A^(-1) =[(3,-1,1),(-15,6,-5),(5,-2,2)] and B = [(1,2,-2), (-1,3,0),...

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  14. A merchant plans to sell two types of personal computers - a deskto...

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  15. Given three identical boxes I, II and III each containing two coins...

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  16. Prove that: int0^(pi/4)(sqrt(tanx)+sqrt(cotx))\ dx=sqrt(2)pi/2

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  17. Find the shortest distance between the following pairs of line whose ...

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  18. Using vectors, find the area of the triangle with vertices A (1, 1,...

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  19. Using matrices, solve the following system of equations: 4x+3y+2z=60...

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  20. A random variable X has the following probability distribution: ...

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