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If tan^(-1) (y/x) = log sqrt(x^(2) + y^(...

If `tan^(-1) (y/x) = log sqrt(x^(2) + y^(2))`, prove that `dy/dx = (x+y)/(x-y)`

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...

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  2. Evaluate: int0^(pi/2) (sin2x tan^(-1)(sinx))dx

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  3. Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...

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  5. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

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  6. A cottage industry manufactures pedestal lamps and wooden shades.Both ...

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  7. Amongst all open (from the top) right circular cylindrical boxes of vo...

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  8. If tan^(-1) (y/x) = log sqrt(x^(2) + y^(2)), prove that dy/dx = (x+y)/...

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  9. If y=e^acos^((-1)x),-1lt=xlt=1,show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(d...

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  10. Find f'(x) if f(x) = tan x^(tan x)

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  11. Amongst all open (from the top) right circular cylindrical boxes of vo...

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  12. the domain of the function f(x) = sin^(-1) (2x) is (a) [0,1] (b) ...

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  13. Find the area lying above x-axis and included between the circle x^2+...

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  14. Using the method of integration find the area of the triangle ABC, ...

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  15. Find the angle between unit vector veca and vecb so that sqrt(3) veca ...

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  16. If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...

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  17. Form the differential equation representing the family of curves y = ...

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  18. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

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  19. Find f'(x) if f(x) = (tanx)^(tanx)

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  20. the interval in which the function f given by f(x) = x^2 e^(-x) is str...

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