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If x(1),x(2),...,x(n) are real numbers, ...

If `x_(1),x_(2),...,x_(n)` are real numbers, then the largest value of the expression
`sinx_(1)cosx_(2)+sinx_(2)cosx_(3)+...+sinx_(n)cosx_(1),` is

A

n

B

`(n)/(2)`

C

`(n)/(4)`

D

`sqrt(n^(2)-1)`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-INEQUALITIES -Section I - Mcqs
  1. The range of ab if |a|le1" and "a+b=1,(a, b in R), is

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  2. If A = x^2+1/x^2 , B = x-1/x then minimum value of A/B is

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  3. The least perimeter of a cyclic quadrilateral of given area A square u...

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  4. A stick of length 20 units is to be divided into n parts so that the p...

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  5. If x. y, z are positive real numbers such that x^2+y^2+z^2=27, then ...

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  6. If x(1),x(2),...,x(n) are real numbers, then the largest value of the ...

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  7. The minimum value of the sum of the lengths of diagonals of a cyclic q...

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  8. The minimum value of |sinx+cosx+tanx+secx+"cosec"x+cotx|, is

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  9. The expression (a+b+c)(b+c-a)(c+a-b)(a+b-c) lekb^(2)c^(2) then k can...

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  10. If n is even and nge4,x(1),x(2),...,x(n)ge0 and x(1)+x(2)+...+x(n)=1,...

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  11. Find the least value of n such that (n-2)x^2+x+n+4>0,AAx in R ,w h e ...

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  12. The number of solution (s) of equation sin sin^(-1)([x])+cos^(-1)cosx=...

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  13. Number of solutions of |(1)/(|x|-1)|=x+sinx, is

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  14. The solution set of equation (x+2)^(2)+[x-2]^(2)=(x-2)^(2)+[x+2]^(2)...

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  15. The number of pairs of positive integers (x,y) where x and y are prime...

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  16. The number of solution of the equation 16(x^(2)+1)+pi^(2)=|tanx|+8pi...

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  17. The set of values of 'a' for which ax^(2)-(4-2a)x-8lt0 for exactly thr...

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  18. The number of positive integral solutions (x,y) of the equation 2xy-4x...

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  19. Number of integers, which satisfy the inequality ((16)^(1/ x))/((2^(x...

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  20. The numbers of integral solutions of the equations y^(2)(5x^(2)+1)=2...

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