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Show that the points (0,-(3)/(2)),(1,-1)...

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

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FULL MARKS-SAMPLE PAPER 13-PART
  1. Find the value of tan 105^(@).

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

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

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

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

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

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

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

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  9. Find the largest possible domain for the real valued function f define...

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  10. Resolve into partial fractions (3x+7)/(x^(2)-3x+2).

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  11. Iff ""^(5)P(r)=""^(6)P(r-1) find r.

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  12. Show that |{:(x,a,a),(a,x,a),(a,a,x):}|=(x+2a)(x-a)^2

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  13. Find the unit vectors perpendicular to each of the vectors veca+vecb" ...

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  14. Evaluate lim(xto3)(x^(2)-9)/(x-3) if it exists by finding f(3^(-)) and...

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  15. Prove that the equations to the straight lines through the origin each...

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  16. Evalute int(1)/(sqrt(x+3)-sqrt(x-4))dx.

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  17. Prove that cos5theta=16cos^(5)theta-20cos^(3)theta+5costheta.

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  18. Let A={1,2,3,4} and B={a,b,c,d}. Give a function from AtoB for each of...

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  19. Show that "cos"(pi)/(15)"cos"(2pi)/(15)"cos"(3pi)/(15)"cos"(4pi)/(15)"...

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  20. If x,y,z are respectively p^(th), q^(th) and r^(th) terms of a G.P sho...

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