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If |a(i)|lt1lamda(i)ge0 for i=1,2,3,.......

If `|a_(i)|lt1lamda_(i)ge0` for `i=1,2,3,.......nandlamda_(1)+lamda_(2)+.......+lamda_(n)=1` then the value of `|lamda_(1)a_(1)+lamda_(2)a_(2)+.......+lamda_(n)a_(n)|` is :

A

equal to 1

B

less than 1

C

greater than 1

D

none of these

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The correct Answer is:
b
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
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  3. If |a(i)|lt1lamda(i)ge0 for i=1,2,3,.......nandlamda(1)+lamda(2)+........

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  4. For any two complex numbers, z(1),z(2) and any two real numbers a and ...

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  5. Common roots of the equation z^(3)+2z^(2)+2z+1=0 and z^(2020)+z^(2018)...

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  6. If z(1) and z(2) are two complex numbers such that |(z(1)-z(2))/(1-bar...

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  7. The points representing cube roots of unity

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  8. If z(1) and z(2) are two complex numbers such that |(z(1)-z(2))/(z(1)+...

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  9. If z(1), z(2) are two complex numbers such that |(z(1)-z(2))/(z(1)+z(2...

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  10. If n is a positive integer greater than unity z is a complex number sa...

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  11. If n is positive integer greater than unity and z is a complex number ...

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  12. If at least one value of the complex number z=x+iy satisfies the condi...

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  13. Given z is a complex number with modulus 1. Then the equation [(1+i a)...

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  14. The center of a regular polygon of n sides is located at the point z=0...

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  15. If the points z(1),z(2),z(3) are the vertices of an equilateral triang...

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  16. For any complex number z, the minimum value of |z|+|z-1|

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  17. The inequality |z-4| < |z-2| represents

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  18. Find the number of non-zero integral solutions of the equation |1-i|^(...

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  19. If "Im"(2z+1)/(iz+1)=-2, then locus of z, is

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  20. about to only mathematics

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