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Form the differential equation of the fa...

Form the differential equation of the family of all circles touching the y-axis at origin.

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MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Find the equation of a plane which makes equal intercepts of 6 units w...

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  2. Verify Rolle's Theorem for the function f(x)=x^2+2x-8 , x in [-4,2]

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  3. Form the differential equation of the family of all circles touching t...

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  4. Show that abs[[1,a,a^2],[1,b,b^2],[1,c,c^2]]=(a-b)(b-c)(c-a)

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  5. Evaluate int0^2e^xdx as limit of a sum.

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  6. if x=sin^-1frac(3)(5), then which of the following is true.

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  7. Evaluate tan(sin^-1frac(3)(5)+cot^-1frac(3)(2))

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  8. sin^-1(sinx)=x is defined on

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  9. find the value of sin^-1(sinfrac(13pi)(4)).

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  10. Consider the functions f(x)=sinx and g(x)=x^3 Find fog(x)

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  11. Find the shortest distance between the skew lines vecr=(veci+2vecj+vec...

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  12. The figure shows the graph of a function f(x) and it's derivative f^'(...

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  13. The figure shows the graph of a function f(x) and it's derivative f^'(...

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  14. Find dy/dx, if y=log(cos(e^x))

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  15. If y=sin^-1x , prove that (1-x^2)y2-xy1=0

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  16. Evaluate int0^(pi/2) cos2xdx

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  17. Find the area bonded by the curve y=cos2x,x=0,x=pi/2 and x-axis.

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  18. In a factory which manufactures bolts, machines A,B and C manufacture ...

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  19. A coin is tossed 3 times. Find the probability distribution of the num...

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  20. X is a random variable which denotes the number of heads obtained when...

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