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Find the locus of point z if z , i ,and ...

Find the locus of point `z` if `z` , `i` ,and `iz` , are collinear.

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If |z^2-3|=3|z| , then the maximum value of |z| is a.1 b. (3+sqrt...

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  2. What is the minimum height of any point on the curve y=x^2-4x+6 above ...

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  3. Find the locus of point z if z , i ,and iz , are collinear.

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  4. If |z-1|lt=2a n d|omegaz-1-omega^2|=a where omega is cube root of unit...

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  5. What is the maximum height of any point on the curve y=-x^2+6x-5 above...

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  6. Consider an ellipse having its foci at A(z1)a n dB(z2) in the Argand p...

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  7. The roots of the cubic equation (z+ ab)^(3) = a^(3), such that a ne 0...

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  8. Find the largest natural number a for which the maximum value of f(x)=...

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  9. In the Argands plane what is the locus of z(!=1) such that a rg{3/2((2...

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  10. If omega is an imaginary x^n root of unit then underset(r=1)oversetnsu...

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  11. Let f(x)=a x^2+b x+c be a quadratic expression having its vertex at (3...

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  12. If |z|=2a n d(z1-z3)/(z2-z3)=(z-2)/(z+2) , then prove that z1, z2, z3...

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  13. If |z1/z2|=1 and arg (z1z2)=0 , then a. z1 = z2 b. |z2|^2 = z1*z2 ...

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  14. Find the least value of n such that (n-2)x^2+8x+n+4>0,AAx in R ,w h ...

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  15. The common roots of the equations z^3+2z^2+2z+1=0 and z^1985+z^100+1=0...

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  16. If z1 + z2 + z3 + z4 = 0 where bi in R such that the sum of no two ...

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  17. If the inequality (m x^2+3x+4)//(x^2+2x+2)<5 is satisfied for all x i...

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  18. If |(z-2)//(z-3)|=2 represents a circle, then find its radius.

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  19. If z1 is a root of the equation a0z^n+a1z^(n-1)+........+ (a(n-1)) z ...

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  20. If f(x)=(a1x+b1)^2+(a2x+b2)^2+...+(an x+bn)^2 , then prove that (a1b1+...

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