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A root of the equation |(3-x,-6,3),(-6,3...

A root of the equation `|(3-x,-6,3),(-6,3-x,3),(3,3,-6-x)|`=0 is

A

6

B

3

C

0

D

`-6`

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FULL MARKS-SAMPLE PAPER 13-PART
  1. The point on the line 2x-3y=5 is equidistance from (1,2) and (3,4) is

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  2. The equation of the locus of the point whose distance from y-axis is h...

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  3. A root of the equation |(3-x,-6,3),(-6,3-x,3),(3,3,-6-x)|=0 is

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  4. If veca=hati+2hatj+2hatk,|vecb| =5 and the angle between veca and vecb...

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  5. If veca=hati+hatj+hatk,vecb=2hati+xhatj+hatk,vecc=hati-hatj+4hatk and ...

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  6. If lim(xto0)(sin3x)/(tankx)=5 then the value of k is

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  7. Find Rf(0) for f(x)=|x| is

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  8. int tan^(-1) sqrt((1 - cos 2x)/( 1 + cos 2 x )) dx is

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  9. int(1)/(sqrt(3+4x))dx=

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  10. Two items are chosen from a lot containing twelve items of which four ...

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  11. If n(A)=10 and n(AcapB)=3, find n((AcapB)'capA).

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  12. Are there two distinct irrational numbers such that their difference i...

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  13. Find the value of tan 105^(@).

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  14. Write the first 6 terms of the sequence whose n^(th) term is given by ...

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  15. Show that the points (0,-(3)/(2)),(1,-1) and (2,-(1)/(2)) are collinea...

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  16. Find x and y if ((3x+4y,x-2y),(5,-3))=((2,4),(5,-3)).

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  17. Given veca=2hati+2hatj+3hatk, vecb=-hati+2hatj+hatk and vecc=3hati+hat...

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  18. Find the relation between a and b if lim(xto3)f(x) exists where f(x)={...

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  19. Find the derivative of t^(3) cos t with respect to t.

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  20. There are 15 candidates for an examination. 7 candidates are appearing...

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