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If x=a(2theta-sin2theta) and y=a(1-cos2t...

If `x=a(2theta-sin2theta)` and `y=a(1-cos2theta)` find `(dy)/(dx)` when `theta = pi/3`

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Find (dy)/dx, if (x^2+y^2)^2=xy

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  2. If a * b, denoted the larger of 'a' and 'b' and if a o b = a*b + 3 , ...

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  3. If x=a(2theta-sin2theta) and y=a(1-cos2theta) find (dy)/(dx) when thet...

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  4. If y="sin"(sinx),"p r o v et h a t" (d^2y)/(dx^2)+tanx(dy)/(dx)cos^...

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  5. Prove that: 3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]

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  6. Find the area of the region in the first quadrant enclosed by the x...

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  7. Find the equations of the tangent and the normal to the curve 16x^2+9y...

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  8. Find the intervals in which the function f(x)=x^4/4-x^3-5x^2+24x+12 is...

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  9. Evaluate : int(0)^(pi/4) (sinx+ cos x)/( 16 + 9sin2x)

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  10. Evaluate : int1^3 (x^2 + 3x + e^x) dx as the limit of the sum.

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  11. An open tank with a square base and vertical sides is to be constructe...

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  12. Find int (2cosx)/((1-sinx)(1+sin^2x)) dx

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  13. Find the particular solution of the differential equation e^xtanydx+(2...

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  14. Find the distance of the point (-1,-5,-10) from the point of inters...

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  15. The differential equations, find a particular solution satisfying t...

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  16. A factory manufactures two types of screws, A and B. Each type of scre...

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  17. Let vec a=4hati+5hatj-hatk, vecb = hati -4hatj+5hatk and vec c=3hati+h...

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  18. Shortest distance between the lines:vecr=(4hati-hatj)+lambda(hati+2hat...

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  19. Suppose a girl throws a die. If she gets 1 or 2 , she tosses a coin th...

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  20. If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the sys...

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