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Write the principal value of tan^(-1)[si...

Write the principal value of `tan^(-1)[sin(-pi/2)]`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Let * R*Rvec given by (a , b) vec (a+4b^2) is a binary operation. C...

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  2. The elements a(i j) of a 3xx3 matrix are given by a(i j)=1/2|-3i+j|dot...

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  3. Write the principal value of tan^(-1)[sin(-pi/2)]

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  4. If (2x4)(x-8)=0 , find the positive value of x

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  5. Write the value of |[2, 7, 65],[ 3, 8, 75],[ 5, 9, 86]|

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  6. Find int(sin^6x)/(cos^8x)dxdot

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  7. Evaluate: int(tan^(-1)x)/(1+x^2)dx

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  8. If | vec a|=8,| vec b|=3 and | vec a x vec b|=12 , find the angle betw...

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  9. Find the angle between x-axis and the vector hat i+ hat j+ hat k

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  10. Find the vector vec p which is perpendicular to both vecalpha=4 hat ...

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  11. Find the unit vector perpendicular to plane ABC where the position vec...

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  12. Solve the differential equation x(dy)/(dx)+y=xcosx+sinx , given y(pi/2...

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  13. Two schools, P and Q, want to award their selected students for the...

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  14. Using properties of determinants, prove the following : |[b+c, a ,a]...

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  15. Let f,g: R-R be two functions defined as f(x)=|x|+x and g(x)=|x|-x , f...

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  16. Write the equation of the straight line through the point (alpha,beta,...

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  17. If y=tan^(-1)(a/x)+logsqrt((x-a)/(x+a)) , Prove that (dy)/(dx)=(2a^3)/...

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  18. Find the value of the constant k so that the function f , defined belo...

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  19. The sides of an equilateral triangle are increasing at the rate of ...

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  20. Find intervals in which the function given by f(x)=3/(10)x^4-4/5x^3-3x...

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