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What is the value of : C3^20 + C4^20 + C...

What is the value of : `C_3^20 + C_4^20 + C_5^20 + ..........+ C_17^20` ?

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SHARAM PUBLICATION-QUESTION PAPER 2014-EXERCISE
  1. How many straight lines in space through the origin are equally inclin...

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  2. If a(ij) is an element in ith row and jth column of a 3rd order determ...

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  3. What is the value of : C3^20 + C4^20 + C5^20 + ..........+ C17^20 ?

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  4. If an event A is independent of it self, then what is P(A)?

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  5. If y=cosec^(-1)x, then find (dy)/(dx) and determine its value at x=-2.

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  6. Examine the differentiability of ln x^(2) for all real values of x.

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  7. Interpret Lagrange's mean value theorem geometrically.

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  8. Evaluate: underset(x rarr0)lim((sinx)/x)^(1/x)

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  9. Evaluate the following integrals : int(dx)/(x^(1/2)+x^(1/3))

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  10. int(xe^x)/(1+x^2)dx

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  11. Evaluate: overset(3/2)underset(0)int[x^2]dx.

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  12. Find the area of the region bounded by the curve y=sin x and the strai...

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  13. Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...

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  14. Solve : (x+y)dy +(x-y)dx = 0.

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  15. Find the differential equation whose general solution is ax^(2)+by=1, ...

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  16. If the sum of two unit vectors is a unit vectors find the magnitude of...

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  17. Find the value of lambda such that the following vectors are coplanar:...

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  18. Find the co-ordinates of the foot of the perpendicular from the point ...

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  19. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

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  20. Using the method of elemination find the symmetrical form of equation ...

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