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For all complex numbers z(1) , z(1) sati...

For all complex numbers `z_(1) , z_(1)` satisfying `|z_(1)| = 12` and `|z_(2) - 3 - 4i| = 5` , the minimum value of `|z_(1) - z_(2)|` is

A

0

B

2

C

7

D

17

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The correct Answer is:
B
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
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  9. For all complex numbers z(1) , z(1) satisfying |z(1)| = 12 and |z(2) -...

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  10. If |z + 2i| le 1 and z(1) = 6-3i then the maximum value of |iz + z(1) ...

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  12. If omega ne 1 is a cube root of unity satisfying (1)/(a + w) + (1)/(...

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  13. The roots of the cubic equation (z + alpha beta)^(3) = alpha^(3) , alp...

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  14. If |z- 25i| le 15 , then |maximum arg (z) - minimum arg (z)| equals

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  15. The complex number z =1 + i is rotated through an angle 3pi//2 in anti...

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  16. The equation zbarz + (2 - 3i) z + (2 + 3i) barz + 4 = 0 represents a c...

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  17. Assertion (A) : The origin and the roots of the equation x^(2) + ax + ...

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