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Statement-1 : z(1)^(2) + z(2)^(2) +z(3)^...

Statement-1 : `z_(1)^(2) + z_(2)^(2) +z_(3)^(2) +z_(4)^(2) =0 " where " z_(1) ,z_(2),z_(3) and z_(4)` are the fourth roots of unity
and
Statement -2 : `(1)^(1/4) = (cos0^(@) +isin0^(@))^(1/4)`

A

Statement -1 is True, Statement -2 is True, Statement -2 is a correct explanation for statement -4

B

Statement -1 is True, Statement -2 is True , Statement -2 is NOT a correct explanation for Statement -4

C

Statement -1 is True, Statement -2 is False

D

Statement -1 is Flase, Statement -2 is True

Text Solution

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The correct Answer is:
A
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AAKASH INSTITUTE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assertion -Reason Type Questions
  1. Statement-1 : let z(1) and z(2) be two complex numbers such that arg ...

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  2. Statement-1 : The locus of z , if arg((z-1)/(z+1)) = pi/2 is a circ...

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  3. Statement-1 : If e^(itheta)=cos theta +isintheta and the value of e...

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  4. Statement-1 : z(1)^(2) + z(2)^(2) +z(3)^(2) +z(4)^(2) =0 " where " z(1...

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  5. Statement -1 : For any four complex numbers z(1),z(2),z(3) and z(4) ,...

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  6. Statement -1 : The expression ((2i)/(1+i))^(n) is a positive integer ...

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  7. Statement -1 : if 1-i,1+i, z(1) and z(2) are the vertices of a square...

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  8. Statement-1 : IF |z+1/z| =a , where z is a complex number and a is a ...

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  9. Statement-1 : The locus of complex number z, satisfying (z-2)^(n) =z^...

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  10. Statement -1 : A root of the equation (2^(10)-3)x^(2)-2^(11)x +2^(10)+...

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  11. Statement -1: The equation who roots are reciprocal of the roots of th...

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  12. Statement-1 : The equation x^(2)-2009x+2008 =0 has rational roots . ...

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  13. Statement -1 : one root of the equation x^(2)+5x-7=0 lie in the interv...

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  14. Statement -1 : The quadratic equation ax^(2)+bx+c=0 has real roots if...

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  15. Statement -1 : There is just on quadratic equation with real coefficie...

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  16. Statement -1 : The roots of x^(2) +2sqrt(2008)x +501=0 are irrational...

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  17. Statement -1 : if a,b,c not all equal and a ne 0 ,a^(3) +b^(3) +c^(3)...

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  18. Statement -1 : There is just one quadratic equation with real coeffici...

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  19. Statement-1 : Let a quadratic equation has a root 3 - 9i then the sum...

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