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Find n, if the ratio of the fifth term f...

Find n, if the ratio of the fifth term from beginning to the fifth term from the end in the expansion of `(root(4)(2) + 1/root(4)(3))^n` id `sqrt6:1`.

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UNITED BOOK HOUSE-JODHPUR PARK BOYS'S SCHOOL-EXERCISE
  1. If t1and t2 are the roots of the equation t^2+lambdat+1=0,where lambda...

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  2. Prove that Axx(BcupC)=(AxxB)cup(AxxC)

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  3. Find the distance from the eye at which a coin must be placed so as ju...

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  4. If cos(alpha+beta)=4/5.sin(alpha-beta)=5/13and alpha,betalie between 0...

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  5. Prove that cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)=-1/2

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  6. Solve :6x^2-(5+3i)x+11i-3=0in the complex plane C.

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  7. Find the sum of first n terms of the series:1/(1+1^2+1^4)+2/(1+2^2+2^4...

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  8. Find n, if the ratio of the fifth term from beginning to the fifth ter...

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  9. Find the natural number a for which sum(k=1)^nf(a+k)=16(2^n-1)where th...

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  10. The line joing two points A(2,0)and B(3,1)I rotated about A in anti cl...

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  11. In what direction should a line be drawn through the pont (1,2) so tha...

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  12. If (alpha^2,alpha)lies inside the triangle bounded by the lines x-5y+6...

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  13. Find the equations of the circles which passes through the origin and ...

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  14. Show that :tan(142(1^@/2))=2+sqrt2-sqrt3-sqrt6

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  15. If A+B+C=pi,prove that :cosA+cosB-cosC=-1+4cosA/2cosB/2sinC/2.

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  16. Solve :(|x+3|+x)/(x+2)>1,x inR,

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  17. Find principal amplitude of (1+itan((3pi)/5))

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  18. A square is draw by joing the mid points of the sides of a given squar...

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  19. On the portion of the line x+3y-3=0 which is intercepted between the c...

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  20. Find the locus of the midpoint of the chords of the parabola y^2=4ax.w...

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