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Using Principle of Mathematical Inductio...

Using Principle of Mathematical Induction, prove that : `cos alpha cos 2 alpha cos 4 alpha ............. cos (2^(n-1) alpha)= (sin (2^n alpha))/(2^n sin alpha)` for all n `in` N.

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JBD PUBLICATION-MODEL PAPER (9)-EXERCISE
  1. Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(BcupC)=(AxxB)c...

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  2. Prove that sin7x + sin5x + sin3x + sinx = 4cosx cos2x sin4x

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  3. Using Principle of Mathematical Induction, prove that : cos alpha cos ...

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  4. Out of 18 points in a plane, no three are in the same straight line ex...

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  5. Out of 18 points in a plane, no three are in the same straight line ex...

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  6. If 1/(6!)+1/(7!)=x/(8!), find x

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  7. Find the sum to n terms of the sequence 8, 88, 888, 8888,…

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  8. Find the equation of the line passing through the point (-3,2) which m...

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  9. Find the equation of the circle passing through the points.(2,-3) and...

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  10. Evaluate: underset(xrarr2)lim (x^3-4x^2+4x)/(x^2-4).

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  11. Find the derivative of (x+secx)(x-tanx)

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  12. A single letter is selected at random from the word PROBABILITY the pr...

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  13. If E and F are events such that P(E )=(1)/(4), P(F)=(1)/(2) and P(E an...

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  14. If E and F are events such that P(E )=(1)/(4), P(F)=(1)/(2) and P(E an...

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  15. If (x + iy)^3 = u + iv, then show that u/x +v/y = 4(x^2 - y^2)

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  16. Express (5-3i)^3 in polar form.

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  17. Solve the inequalities given below for real x :- ((2x-1))/3ge((3x-2))/...

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  18. Find all pairs of consecutive even positive integers, both of which ar...

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  19. Evaluate underset(xrarr0)lim (e^x-sinx-1)/x

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  20. Find the derivative of tanx

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