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Show that P(m,1)+P (n,1)=P(M+n,1)for all...

Show that `P(m,1)+P (n,1)=P(M+n,1)`for all positive integers m, n.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...

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  2. Prove that the following. |[(v+w)^2,u^2,u^2],[v^2,(w+u)^2,v^2],[w^2,w...

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  3. Show that P(m,1)+P (n,1)=P(M+n,1)for all positive integers m, n.

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  4. Prove that the curves x = y^(2) and xy = k cut at right angles, if 8k^...

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  6. A ladder 5m long is leaning against a wall. The bottom of ladder is pu...

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

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  9. If with reference to the eight handed system of mutually perpendicular...

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  10. Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...

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  11. What is int5^x.e^(3x) ?

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  12. If abs(X)=m and absY= n, then what is the total number of functions fr...

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  13. If the tangent to the curve y=x^2+3x at P has slope 5, then what are t...

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  14. Fill in the blank choosing correct answer from the brackets cot^(-1)[(...

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  15. What is the symmetric form of the equation of z-axis ?

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  16. If A is a non singular square matrix of order n, then what is abs(adj ...

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  20. Solve sin^(-1)x +sin^(-1)(1-x) =(pi)/(2).

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