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If |z-2-3i|+|z+2-6i|=4where i=sqrt(-1),t...

If `|z-2-3i|+|z+2-6i|=4`where `i=sqrt(-1),`then locus of P (z) is

A

An ellipse

B

A point

C

Segment joining the points (2 +3i) and (-2+6i)

D

Empty

Text Solution

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The correct Answer is:
D
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AAKASH INSTITUTE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -B) (objective Type Questions ( one option is correct)
  1. If one vertex and centre of a square are z and origin then which of th...

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  2. if the complex no z1 , z2 and z3 represents the vertices of an equ...

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  3. If |z-2-3i|+|z+2-6i|=4where i=sqrt(-1),then locus of P (z) is

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  4. If z(1),z(2),z(3) and u,v,w are complex numbers represending the verti...

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  5. If |z-25i| lt= 15. then |"maximum " arg(z) - "minimum " arg(z)| equals

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  6. For two complex numbers z(1) and z(2) , we have |(z(1)-z(2))/(1-barz(1...

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  7. Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 then

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  8. If the ratio of the roots of the equation lx^2+nx+n=0 is p:q prove tha...

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  9. For the equation |x^(2)| + |x| -6=0, the roots are

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  10. If a+b+c=0 and a,b,c are rational. Prove that the roots of the equatio...

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  11. If secalpha, tanalpha are roots of ax^2 + bx + c = 0, then

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  12. If x is real then the values of (x^(2) + 34 x - 71)/(x^(2) + 2x - 7) d...

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  13. if alpha&betaare the roots of the quadratic equation ax^2 + bx + c = 0...

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  14. let alpha ,beta be roots of ax^2+bx+c=0 and gamma,delta be the roots o...

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  15. The equation (a(x-b)(x-c))/((a-b)(a-c)) + (b(x-c)(x-a))/((b-c)(b-a))+...

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  16. If z1=3−2i,z2=2−i and z3=2+5i then find z1+z2−3z3

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  17. If the equation (k^(2)-3k +2) x^(2) + ( k^(2) -5k + 4)x + ( k^(2) -6k ...

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  18. The value of k if

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  19. if the difference of the roots of the equation x^(2)+ ax +b=0 is equa...

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  20. If the equations px^2+2qx+r=0 and px^2+2rx+q=0 have a common root then...

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