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

Write the principal value of `tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3))` .

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the length of the perpendicular drawn from the origin to the pl...

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  2. Find the vector equation of the plane passing through three points w...

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  3. Write the principal value of tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3)) .

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  4. Write the value of tan^(-1)[2sin(2cos^(-1)(sqrt(3)/2))] .

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  5. For what value of x is the matrix A=[(0,1,-2),(1,0,3),(x,3,0)] a skew-...

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  6. Using matrices, solve the following system of linear equations: x - ...

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  7. Write the differential equation representing the family of curves y...

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  8. If A(ij) is the cofactor of the element a(ij) of the determinant |(2,-...

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  9. P and Q are two points with position vectors 3 vec a-2 vec b and v...

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  10. Show that the differential equation 2y e^(x/y)\ dx+(y-2x e^(x/ y) ) dy...

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  11. Sketch the graph of y=|x+3| and evaluate the area under the curve ...

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  12. Evaluate: int(x^2+1)/((x-1)^2(x+3))\ dx

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  13. Evaluate: int(xsin^(-1)x)/(sqrt(1-x^2))\ dx

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  14. Using differentials, find the approximate value of f(2. 01), where ...

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  15. Find the equation of the tangent to the curve y=sqrt(4x-2)\ which ...

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  16. Prove the following: tan^(-1)sqrt(x)=1/2cos^(-1)((1-x)/(1+x)),\ x\ \ ...

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  17. Prove the following: cos^(-1)((12)/(13))+sin^(-1)(3/5)=sin^(-1)((56)/...

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  18. Often it is taken that a truthful person commands, more respect in ...

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  19. integrate thisint ( x^2+1)/(x^2-5x+6)dx

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  20. In a group of 50 scouts in a camp, 30 are well trained in first aid...

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