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If p-th, q-th and r-th terms of and AP as well as those of a GP are a, b, c respectively, then prove that `a^(b-c). b^(c-a).c^(a-b)=1`

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-HS (XI) AND WBJEE 2018 (GROUP - C)
  1. Let A={x""inNN:x^(2)-5x+6=0},B={x""inW:0lexlt2}andC={x""inNN:xlt3}, th...

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  2. Prove that in any DeltaABC, (b-c)cot""(A)/(2)+(c-a)cot""(B)/(2)cot"...

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  3. Solve : secx-tanx=sqrt3.

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  4. If p-th, q-th and r-th terms of and AP as well as those of a GP are a,...

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  5. Prove that x^(n)-y^(n) is divisible by (x-y) for all n""inNN

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  6. If z=x+iyandw=(1-iz)/(z-i) such that |w|=1, then show that z is purely...

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  7. Find the rank of the word 'MOTHER' in dictionary format.

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  8. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x...

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  9. (2a,0) and (0,a) are the extremities of the base of an isosceles trian...

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  10. A variable straight line passes through the point of intersection of t...

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  11. The abscissae of the two points A and B are the roots of the equation ...

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  12. If 2f(x)+f(-x)=1+x" find "f'(10) where f'(x) denote derivative of f(x)...

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  13. Evaluate : lim(xto(pi)/(4))(4sqrt2-(cosx+sinx)^(5))/(1-sin2x)

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  14. Write the negation of each of the following statements: p : For ever...

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  15. Consider the statement: p: If x is real number such that x^(3)+4x=0,...

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  16. A bag contains 5 white and 4 black balls. If 3 balls are drawn at rand...

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  17. The arithmetic mean and standard deviation of 7 observations are respe...

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