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z=x+iy is a conplex number. If the imagi...

z=x+iy is a conplex number. If the imaginary part of `z^(2)` is 32. then Locus of z is a hyperola of eccentricity.

A

`sqrt2`

B

2

C

`3//2`

D

`4//3`

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The correct Answer is:
A
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AAKASH SERIES-HYPERBOLA-Practice Exercise
  1. If the latusrectum subtends a right angle at the centre of the hyperbo...

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  2. The eccentricity of the hyperola whose latus rectum subtends a right a...

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  3. z=x+iy is a conplex number. If the imaginary part of z^(2) is 32. then...

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  4. In the line 3x-y= k is a tangent to the hyperbola 3x^(2) -y^(2) =3 ...

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  5. If the line x Cos alpha+y Sin alpha=p touches x^(2)/a^(2)-y^(2)/b^(2)=...

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  6. The equations of the tangents to the hyperbola 2x^(2) -3y^(2) =6 whic...

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  7. The number of tangents to x^(2)//25-y^(2)//9=1 through (5,0) is

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  8. The sum and product of the slopes of the tangents to the hyperbola x^(...

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  9. The slopes of the tangents drawn form (0,2) to the hyperbola 5x^(2)-y^...

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  10. The point of contact of 5x+6y+1=0 to the hyperbola 2x^(2)-3y^(2)=2 is

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  11. The condition that the line y=mx+c may be a tangent to (y^(2))/(a^(2))...

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  12. The locus of the point of intersection of two tangents to the hyperbol...

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  13. The radius of the director circle of the hyperbola x^2//25-y^(2)//9=1 ...

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  14. The radius of the auxiliary circle of the hyperbola x^(2)//25-y^(2)//9...

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  15. The equation of the normal to the hyperbola x^(2)-4y^2=5 at (3,-1) is

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  16. Tangents to the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 makes angles theta...

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  17. Tangents are drawn to 3x^(2)-2y^(2)=6 from a point P. If the product o...

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  18. The chords of contact al P.w.r.t. x^(2)-y^(2)=a^2 and x^(2)+y^(2)=a^(2...

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  19. The equation to the common tangent to the hyperbolas (x^(2))/(25)-y^(2...

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  20. The point of intersection of two tangents to hyperbola x^(2)/a^(2)-y^(...

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