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If n (> 1)is a positive integer, then sh...

If n (> 1)is a positive integer, then show that `2^(2n)- 3n - 1 `is divisible by 9.

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 14-EXERCISE
  1. If Z1 = -3 + 4i, Z2 = 12 - 5i, prove that |z1+z2|<|z1-z2|

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  2. How many solutions are there in the equation xyz = 2y where the soluti...

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  3. If n (> 1)is a positive integer, then show that 2^(2n)- 3n - 1 is divi...

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  4. If a. b, c are in A.P, then show that 1/(bc),1/(ca),1/(ab) are also in...

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  5. Find the perpendicular bisector of AB, where the co-ordinates of A and...

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  6. If the co-ordinate of three vertices of a- triangle are (9, 1, -3), (1...

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  7. Evaluate :lim(xrarrpi/2)(pi/2-x)tanx

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  8. If f(x + 2) = 2x^2 - 3x - 1, find the value of f(x + 1)

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  9. Three dice are thrown simultaneously. Find the probability that the su...

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  10. Two variables x and y are related by y=8+2x, if the S.D. of x is 3, th...

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  11. In three sets P,Q,R if Pcup R=Pcup Qand Pcap Q=PcapR,then show that Q=...

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  12. sintheta=ksin(theta+phi).show that tan(theta+phi)=(sinphi)/(cosphi-K)

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  13. In /\ABCif1/(a+c)+1/(b+c)=3/(a+b+c),show that angleC=pi/3

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  14. Using mathematical induction, prove that 1/5n^5+1/3n^3+7n/15 is a natu...

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  15. An equilateral triangle in the Argan plane has vertix as z1,z2and z3wh...

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  16. How many arragements can be made out of the letters of the word FAILUR...

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  17. Calcualte the sum of the series :1+3/2+7/4+15/8+31/16+….+tn

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  18. The equation of three sides of a triangle are x + 2y - 5 = 0, x +y = 6...

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  19. Show that the area of the triangle formed by the lines y = m(1) x + c(...

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  20. Find the equation, centre, and radius of a circle which is passes thro...

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