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Prove that by mathematical induction : `3^(2n+ 2) - 8n - 9` is divisible by 64 where` n in N.`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 13-EXERCISE
  1. If tan (theta/2)=tan^3 (phi/2)and tanphi=2tanalpha,then prove that the...

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  2. In a triangle ABC if a cos^2(C/2)+c cos^2(A/2)=((3b)/2)show that sides...

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  3. Prove that by mathematical induction : 3^(2n+ 2) - 8n - 9 is divisible...

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  4. If x=a+b,y=aw+bw^2,z=aw^2+bw,show that xyz=a^3+b^3

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  5. if the ratio of the sum of n terms of two A Ps is (3n + 5) : (5n - 9)...

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  6. The coefficient of three consecutive terms in the expansion of (1+x)^n...

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  7. Show that the straight line (a + 2b) x + (a -3b)y + b -a = 0 always p...

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  8. Find the equations of straight line which are perpendicular to the str...

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  9. y = 2x is a chord of the circle x^2 + y^2 -10 x = 0. Find the equation...

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  10. Find the ratio in which the plane 2x + 2y - 2z = 1 divides the line se...

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  11. Evaluate :lim(xrarroo)[(1^(1//x)+2^(1//x)+3^(1//x))/3]

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  12. Differentiate x^(-2/3) with respect to x, with behalf of definition.

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  13. Prove that sqrt3is irrational, (use the method of contradiction)

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  14. If x and y are odd integers, then xy is also an odd integer r examine ...

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  15. The probability of occurrence of at least one event of two events X an...

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  16. If the co-efficient of variation of two frequeny distribution are 58% ...

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  17. Prove that (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

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  18. In /\ABC,Prove that a cos A + b cos B + c cos C = 2a sin B sin C

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  19. If a1,a2,a3,...,aaare in A.P then show that 1/(a1a2)+1/(a2a3)+1/(a3a4)...

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  20. Solve x^2 -(7 -i)x + (18 -i) = 0 and hence prove that the roots are no...

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