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Prove that : cot^(-1)7+cot^(-1)8+cot^(-...

Prove that : `cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the intervals in which the function f(x)=3/2x^4-4x-45 x+51 is (a)...

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  2. Find the approximate value of f(3. 02), upto 2 places of decimal, whe...

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  3. Prove that : cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3

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  4. Solve for x : cos(tan^(-1)x)=sin(cot^(-1)\ 3/4)

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  5. Solve the differential equation (x^2-y)dy+(y^2+x^2y^2)dx=0, given t...

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  6. Solve the differential equation (dy)/(dx)+ycotx=2cosx , given that ...

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  7. Find the angle between the lines vec r=2 hat i-5 hat j+ hat k+lambda(...

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  8. Let f:WvecW , be defined as f(x)=x-1 , if x is odd and f(x)=x+1 , if x...

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  9. Using properties of determinants, prove that |[a+x,y,z],[x,a+y,z],[x,y...

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  10. x=acostheta+bsintheta and y=asintheta-bcostheta, show that y^2(d^2y)/(...

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  11. If x^m y^n=(x+y)^(m+n), Prove that (dy)/(dx)=y/xdot

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  12. Two schools P and Q want to award their selected students on the va...

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  13. An insurance company insured 2000 scooter drivers, 4000 car drivers...

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  14. Three cards are drawn at random (without replacement) from a well s...

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  15. Evaluate : int(xcos^(-1)x)/(1-x^2)dx

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  16. Evaluate :int(3x-2)sqrt(x^2+x+1) dx

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  17. Four cards are drawn successively with replacement from a well shuffle...

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  18. In answering a question on a multiple choice test, a student either kn...

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  19. A manufacturer produces nuts and bolts. It takes 2 hours work on machi...

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  20. Solve the differential equation : (xsin^2(y/x)-y)dx+xdy=0 given y=pi/4...

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