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If |(z-2)//(z-3)|=2 represents a circle,...

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

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If the inequality (m x^2+3x+4)//(x^2+2x+2)<5 is satisfied for all x i...

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

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

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

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  6. If the imaginary part of (2z+1)//(i z+1) is -2, then find the locus of...

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  7. If |2z-1|=|z-2|a n dz1, z2, z3 are complex numbers such that |z1-alph...

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  8. If c is positive and 2a x^2+3b x+5c=0 does not have any real roots, th...

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  9. Find the number of complex numbers which satisfies both the equations ...

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  10. Let omega be the complex number cos((2pi)/3)+isin((2pi)/3). Then the...

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  11. If a x^2+b x+6=0 does not have distinct real roots, then find the leas...

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  12. |z-2-3i|^2+|z-4-3i|^2=lambda represents the equation of the circle wit...

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  13. Match the statements/expressions given in column I with the values ...

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  14. A quadratic trinomial P(x)=a x^2+b x+c is such that the equation P(x)...

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  15. If (sqrt(8)+i)^(50)=3^(49)(a+i b) , then find the value of a^2+b^2dot

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  16. Let a ,b ,c in Q^+ satisfying a > b > c . Which of the following stat...

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  17. Find number of values of complex numbers omega satisfying the system o...

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  18. Match the statements in column-I with those I column-II [Note: Here z ...

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  19. If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value of...

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  20. If |z-i R e(z)|=|z-I m(z)| , then prove that z , lies on the bisectors...

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