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Minimum value of |z1 + 1 | + |z2 ...

Minimum value of ` |z_1 + 1 | + |z_2 + 1 | + |z _1 z _2 + 1 | if [ z_1 | = 1 and |z_2 | = 1 ` is ________.

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FIITJEE-COMPLEX NUMBER-SOLVED PROBLEMS (OBJECTIVE)
  1. Let P(k)(k=1,2,…n) be the nth root of unity. Let z =a +ib and A(k) = R...

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  2. A complex number z is rotated in anticlockwise direction by an angle ...

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  3. one vertex of the triangle of maximum area that can be inscribed in th...

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  4. Let 'z' be a complex number and 'a' be a real parameter such that z^2+...

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  5. Roots of the equation x^n - 1 = 0, n in I

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  6. Let z(1) and z(2) be complex numbers such that z(1)^(2)-4z(2)=16+20i a...

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  7. Let z(1) and z(2) be complex numbers such that z(1)^(2)-4z(2)=16+20i a...

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  8. Let z1 and z2 be complex numbers such that z(1)^(2) - 4z(2) = 16+20i a...

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  9. The locus of any point P(z) on argand plane is arg((z-5i)/(z+5i))=(pi)...

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  10. The locus of any point P (z) on argand plane is "arg" ((z+5i)/(z-5i))=...

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  11. If |z- z1|^2 + |z-z-2|^2 = |z1 - z2|^2 represents a conic C, then for...

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  12. Let a be the real number, Real part of (19+7i)/(9-i) + (20+5i)/(7+6i) ...

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  13. Let A = (cos alpha, sin alpha), B = (cos beta , sin beta), C = (cos g...

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  14. Minimum value of |z1 + 1 | + |z2 + 1 | + |z 1 z 2 + 1 | i...

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  15. If Z1 , Z2 be two non zero complex numbers satisfying the equation |(Z...

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  16. Match the equation given in List - I to the curve, it represents on ...

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  17. if an equilateral triangle ABC with vertices at z1, z2 and z3 be inscr...

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  18. Which of the following options is the only CORRECT combination ?

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  19. Which of the following options is the only CORRECT combination ?

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  20. Which of the following options is the only INCORRECT combination ?

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