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If |z(1)| = 1, |z(2)| = 2, |z(3)| = 3 an...

If |`z_(1)`| = 1, `|z_(2)| = 2, |z_(3)| = 3 and |9z_(1)z_(2) + 4z_(1) z_(3) + z_(2) `
`z_(3) = 12|,` then the value of `|z_(1) + z_(2) + z_(3)|` is

A

2

B

1

C

4

D

3

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SURA PUBLICATION-MODAL QUESTION PAPER-PART - I
  1. The rank of the matrix [(1,2,3,4),(2,4,6,8),(-1,-2,-3,-4)] is

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  2. If 0lt= thetalt=pi and the system of equations x+(sintheta)y- (costhet...

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  3. If |z(1)| = 1, |z(2)| = 2, |z(3)| = 3 and |9z(1)z(2) + 4z(1) z(3) + z(...

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  4. Which one of the points i,-2+i,2and3 is farthest from the origin?

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  5. If alpha, beta and gamma are the zeros of x^3 + px^2 + qx + r, then Si...

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  6. The range of sec^(-1)x is

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  7. If P (x,y) be any point on 16x^(2) + 25y^(2) = 400 with foci F(1)...

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  8. If the length of the perpendicular from the origin to the plane 2x+3y+...

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  9. The system of linear equations x+y+z =2, 2x+y-z=3, 3x+2y+kz= has a uni...

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  10. If A is an orthogonal matrix, then |A| is

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  11. If z is a complex number such that Re (z) = Im(z), then

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  12. If z is any complex number, then the points z,iz,-z,-iz

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  13. If sinalphaandcosalpha are the roots of 25x^(2)+5x-12=0 then the value...

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  14. If a and b are odd integers then the roots of the equation 2ax^(2)+(2a...

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  15. If 4cos^(-1)x+sin^(-1)x=pi, then x is

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  16. The domain of the function cos^(-1)(2x-1) is

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  17. If 5x + 9 = 0 is the directrix of the hyperbola 16x^(2)-9y^(2)=144 the...

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  18. If ax^(2)+by^(2)+(a+b-4)xy-ax-by-20=0 represent the circle then its ce...

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  19. The foot of the perpendicular from A (1, 0, 0) to the line (x-1)/2=(y+...

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  20. If A is a non-singular matrix such that A^(-1)=[(5,3),(-2,-1)], "then"...

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