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If z is any complex number, then the poi...

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

A

form a square

B

form a trapenzium

C

are collinear

D

lie on a circle `|z|=sqrt2` with centre (0,0) and radius `sqrt2`

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SURA PUBLICATION-MODAL QUESTION PAPER-PART - I
  1. If A is an orthogonal matrix, then |A| is

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

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

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

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

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

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

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

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

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

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

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  12. If adj A = [(2,3),(4,-1)] and adj B = [(1,-2),(-3,1)] then adj (AB) is

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  13. If |z-2 + i|le2, then the greatest value of |z| is

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  14. If x^(2)+y^(2)=1, then the value of (1+x+iy)/(1+x-iy).

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  15. The product of all four values of (cos"" (pi)/(3) + i sin ""(pi)/(3))^...

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  16. The polynomial x^(3)+2x+3 has :

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  17. The value of sin^(-1)(cosx),0lexlepi is

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  18. An ellipse has OB, as semi minor axis, F and F' its foci and the angle...

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  19. The vertex of the parabola x^(2)=8y-1 is :

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  20. The value of [hati+hatj,hatj+hatk,hatk+hati] is equal to :

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