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Find the value of x if |(x-1,x,x-2),(0,x...

Find the value of `x` if `|(x-1,x,x-2),(0,x-2,x-3),(0,0,x-3)|=0`

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FULL MARKS-SAMPLE PAPER 11-PART
  1. Suppose one girl or one boy has to be selected for a competition from ...

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  2. Find the combined equation of the straight lines whose separate equati...

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  3. Find the value of x if |(x-1,x,x-2),(0,x-2,x-3),(0,0,x-3)|=0

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  4. Find the angle between veca and vecb If |vecaxxvecb|=|veca.vecb|.

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  5. Find the positive integer n so that lim(xto3)(x^(n)-3^(n))/(x-3)=27

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  6. Find (dy)/(dx) where y=(tanx)/(x)

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  7. Integrate (8)/(sqrt(1-(4x)^(2)))+(27)/(sqrt(1-9x^(2)))-(15)/(1+25x^(2)...

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  8. Given n(A)=7,n(B)=8 and n(AcupB)=10 find n[(AcapB)].

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  9. Solve: -x^(2)+3x-2ge0

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  10. Prove that sinA+sin(120^(@)+A)+sin(240^(@)+A)=0.

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  11. Find the number of ways of arranging the letters of the word RAMANUJAN...

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  12. Find the last two digits of the number 7^(400)

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  13. If A=[[1,a],[0,1]] compute A^(4).

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  14. Solve: 2X+Y+[[-2,1,3],[5,-7,3],[4,5,4]]=0,X-Y=[[4,7,0],[-1,2,-6],[-2,8...

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  15. Compute lim(xto1)(x^(m)-1)/(x^(n)-1).

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  16. Differentiate (2x+1)^(5)(x^(3)-x+1)^(4) with respect to x.

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  17. Evaluate intx^(2)log2xdx

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  18. In a suvey of 5000 persons in a town, it was found that 45% of the per...

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  19. Find the range of the function f(x)=(1)/(2+sin3x).

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  20. (a) Solve (2x+1)^(2)-(3x+2)^(2)=0 (b) If alpha and beta are the root...

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