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The number of complex number z satisfyin...

The number of complex number z satisfying `abs(z-(4+3i))=2 and absz +abs(z-4) =6` is

A

0

B

1

C

2

D

3

Text Solution

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Knowledge Check

  • The number of complex numbers satisfying (1 + i)z = i|z|

    A
    0
    B
    1
    C
    2
    D
    infinite

  • Let z_(1) = 2 + 3i and z_(2) = 3 + 4i be two points on the complex plane. Then the set of complex numbers z satisfying abs(z - z_(1))^(2) + (z - z_(2))^(2) = (z_(1) - z_(2))^(2) represents

    A
    a straight line
    B
    a point
    C
    a circle
    D
    a pair of straight lines

  • The complex number z satisfying the equation abs(z-1)=abs(z+1)=1 is

    A
    0
    B
    1+i
    C
    `-1+i`
    D
    `1-i`
    • JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-MATHEMATICS (SECTION - A)
    1. The number of complex number z satisfying abs(z-(4+3i))=2 and absz +ab...

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    2. Let f (x) = {:abs((a,-1,0),(ax,a,-1),(ax^2, ax,a)):}, a in RR. Then th...

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    3. For some alpha , beta in R , a = alpha- i beta. If system of equations...

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    4. Let A and B be two 3 xx 3 matrices such that AB = I and abs(A) = 1/8. ...

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    5. If S=2+6/7+12/7^2+20/7^3+. . . then find 4S

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    6. If a1 , a2 , a3 . . . and b1 , b2 ,b3 ... are two A.P. and a1=2 , a(10...

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    7. If m and n respectively are the number of local maximum and local mini...

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    8. If f is differentiable function such that intcos x^1 t^2 f(t) dt =sin^...

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    9. The value of int0^1 dx/(7^[[1/x]]) is ( where [.] denotes the greatest...

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    10. If the solution curve of the differential equation ((tan^(-1)y)-x)dy =...

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    11. If the equation of the parabola, whose vertex is at (5, 4) and the dir...

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    12. The set of values of k, for which the circle C : 4x^2 + 4y^2 - 12 x +...

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    13. Let foot of perpendicular from point (1,2,4) on line (x+2)/4=(y-1)/2=(...

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    14. The shortest distance between the line (x-3)/2 = (y -2)/3 = (z - 1)/(-...

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    15. Let vec a and vec b be two vectors along diagonals of parallelogram ha...

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    16. The mean and variance of the data 4,5,6,6,7,8,x,y, where x lt y are 6 ...

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    17. If a point A(x, y) lies in the region bounded by the y-axis, straight ...

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    18. The value of cot(sum(n=1)^50 tan^-1((1)/(1+n+n^2))) is equal to

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    19. alpha = sin 36^@ is root of which of the following equation

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    20. Which of the following statement is a tautology ?

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