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The set of points z satisfying |z+4|+|z-...

The set of points z satisfying `|z+4|+|z-4|=10` is contained or equal to

A

an ellipse with eccentricity `=4/5`

B

the set of points z satisfying `|z| le 3`

C

the set of points z satisfying `|"Re"(z)| le 2`

D

the set of points z satisfying `|"lm"(z)| lt 1`

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A
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Match the statements in column-I with those I column-II [Note: Here z takes the values in the complex plane and I m(z)a n dR e(z) denote, respectively, the imaginary part and the real part of z ] Column I, Column II: The set of points z satisfying |z-i|z||-|z+i|z||=0 is contained in or equal to, p. an ellipse with eccentricity 4/5 The set of points z satisfying |z+4|+|z-4|=10 is contained in or equal to, q. the set of point z satisfying I m z=0 If |omega|=1, then the set of points z=omega+1//omega is contained in or equal to, r. the set of points z satisfying |I m z|lt=1 , s. the set of points z satisfying |R e z|lt=1 , t. the set of points z satisfying |z|lt=3

The set of points z in the complex plane satisfying |z-i|z||=|z+i|z|| is contained or equal to the set of points z satisfying

The locus of point z satisfying Re (z^(2))=0 , is

If |omega|=2 , then the set of points z=omega-1/omega is contained in or equal to the set of points z satisfying

If |omega|=1 , then the set of points z=omega+1/omega is contained in or equal to the set of points z satisfying.

Let z_1=3 and z_2=7 represent two points A and B respectively on complex plane . Let the curve C_1 be the locus of pint P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =10 and the curve C_2 be the locus of point P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =16 The locus of point from which tangents drawn to C_1 and C_2 are perpendicular , is :

Let z_1=3 and z_2=7 represent two points A and B respectively on complex plane . Let the curve C_1 be the locus of pint P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =10 and the curve C_2 be the locus of point P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =16 Least distance between curves C_1 and C_2 is :

locus of the point z satisfying the equation |z-1|+|z-i|=2 is

The point z in the complex plane satisfying |z+2|-|z-2|=3 lies on

If z is any complex number satisfying |z - 3 - 2i | less than or equal 2, then the minimum value of |2z - 6 + 5i| is (1) 2 (2) 1 (3) 3 (4) 5

OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Section I - Solved Mcqs
  1. about to only mathematics

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  2. The set of points z in the complex plane satisfying |z-i|z||=|z+i|z|| ...

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  3. The set of points z satisfying |z+4|+|z-4|=10 is contained or equal to

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  4. If |omega|=2, then the set of points z=omega-1/omega is contained in o...

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  5. If |omega|=1, then the set of points z=omega+1/omega is contained in o...

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  6. The number of complex numbersd z, such that abs(z-1)=abs(z+1)=abs(z-i)...

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  7. Let alpha and beta be real and z be a complex number. If z^(2)+az+beta...

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  8. If omega=1 is the complex cube root of unity and matrix H=|{:(,omega,0...

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  9. The maximum value of |a r g(1/(1-z))|for|z|=1,z!=1 is given by.

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  10. about to only mathematics

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  11. Let a,b and c be three real numbers satisfying [a b c ] |(1,9,7),(...

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  12. The set {R e((2i z)/(1-z^2)): zi sacom p l e xnu m b e r ,|z|=1,z=+-1}...

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  13. about to only mathematics

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  14. If |z(1)|=|z(2)| and arg (z(1))+"arg"(z(2))=0, then

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  15. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

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  16. about to only mathematics

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  17. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

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  18. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

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  19. Let z(k)=cos(2kpi)/10+isin(2kpi)/10,k=1,2,………..,9. Then, 1/10{|1-z(1)|...

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  20. In Q. No. 121, 1-sum(k=1)^(9)cos(2kpi)/10 equals

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