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Prove that the curves x=y^2 and xy=k cut...

Prove that the curves `x=y^2` and `xy=k` cut at right angles* if `8k^2 =1`

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PRADEEP PUBLICATION-MODEL PAPER (2)-EXERCISE
  1. If f(x)={((x-5)/(|x-5|)+a" , if "xlt5),(a+b" , if "x=5),((x-...

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  2. Find the interval of increase and decrease of the function f(x)=log(1+...

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  3. Prove that the curves x=y^2 and xy=k cut at right angles* if 8k^2 =1

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  4. int (sin^-1x)/(1-x^2)^(3//2) dx

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  5. Evaluate: underset0 oversetpi int sinxdx .

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  6. Sketch the graph of the function: y=f(x)={(x, if, 0lexle1),(1/x, if, 1...

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  7. Solve the differential equation (d^2y)/(dx^2)=x+sinx given that when x...

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  8. There is a group of 50 people who are patriotic out of which 20 believ...

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  9. With the help of vector method, prove that,cosA=(b^2+c^2-a^2)/(2bc)

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  10. Experiments show that radium decomposes at a rate proportioanl to the ...

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  11. The following matrix depicts the number of students of a school who we...

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  12. The following matrix depicts the number of students of a school who we...

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  13. The following matrix depicts the number of students of a school who we...

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  14. A line with direction numbers <2,7,-5> is drawn to intersect the lines...

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  15. Find x and y if the point (x,-1,3), (3,y,1) and (-1,11,9) are collinea...

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  16. find the mean and variance of the probability distribution of the sum ...

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  17. The given quantity of metal is to be cost into a half cylinder with a ...

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  18. Compute (AB)^-1 where A = [(1,3,3),(1,4,3),(1,3,4)] and B^-1 = [(2,1,...

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  19. Evaluate int(a)^(b)x^(2)dx as the limit of a sum.

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  20. A diet for a sick person must contain atleast 4000 units of vitamin, 5...

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