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If z=(3+7i)(a+ib), where a, b in Z-{0}, ...

If `z=(3+7i)(a+ib)`, where `a`, `b in Z-{0}`, is purely imaginery, then minimum value of `|z|^(2)` is

A

0

B

58

C

`(3364)/(3)`

D

3364

Text Solution

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The correct Answer is:
D
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DISHA PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS -Exercise -2 : Concept Applicator
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  3. If z=(3+7i)(a+ib), where a, b in Z-{0}, is purely imaginery, then mini...

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  7. If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - log2(x+1) then complete set of v...

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  9. If a<b<c<d , then the roots of the equation (x-a)(x-c)+2(x-b)(x-d)=0 a...

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  10. If the cube roots of unity are 1,w w^2,then the roots of the equation ...

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  11. Find t values of the parameter a such that the rots alpha,beta of the ...

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  12. If w is a complex cube root of unity, then the value of w^(99)+w^(100)...

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  16. If one root of the equations ax^(2)+bx+c=0 and bx^(2)+cx+a=0, (a, b, c...

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  17. State true or false for the following. The inequality |z - 4| lt ...

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  19. If z be any complex number (z!=0) then arg((z-i)/(z+i))=pi/2represen...

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  20. Let z1 and z2 be theroots of the equation z^2+az+b=0 z being compex. F...

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