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If `y=tan^(-1)(a/x)+logsqrt((x-a)/(x+a))` , Prove that `(dy)/(dx)=(2a^3)/(x^4-a^4)`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
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  2. Write the equation of the straight line through the point (alpha,beta,...

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

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

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

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  7. Find the particular solution of the differential equation x(dy)/(dx)-y...

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  8. Differentiate tan^(-1)((sqrt(1-x^2))/x) with respect to cos^(-1)(2xsqr...

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  9. Using properties of determinants, prove that |2yy-z-x2y2z2z z-x-y x-y...

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  10. Write the vector equation of the plane, passing through the point (...

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  11. Let A={1,\ 2,\ 3,\ ,\ 9} and R be the relation on AxxA defined by (a ...

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  12. Evaluate: int(x-3)sqrt(x^2+3x-18)\ dx

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  13. Evaluate : int(sin^6x+cos^6x)/(sin^2xdotcos^2x)dx

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  14. Find the particular solution of the differential equation e^xsqrt(1-y^...

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  15. A dealer in rural area wishes to purchase a number of sewing machin...

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  16. From a lot of 15 bulbs which include 5 defectives, a sample of 4 bu...

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  18. Find the distance between the point (7,2,4) and the plane determined b...

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  19. Find the distance of the point (-1,-5,-10) from the point of intersect...

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  20. Find the intervals in which the function f(x)=3x^4-4x^3-12 x^2+5 is (a...

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