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The number of roots of the equation `sqrt(x-2)(x^2-4x+3)=0` is (A) Three (B) Four (C) One (D) Two

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. The sum of the non-real root of (x^2+x-2)(x^2+x-3)=12 is -1 b. 1 c. -...

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  2. If n is a positive integer, prove that |I m(z^n)|lt=n|I m(z)||z|^(n-1....

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  3. The number of roots of the equation sqrt(x-2)(x^2-4x+3)=0 is (A) Thre...

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  4. If z1, z2a n dz3, z4 are two pairs of conjugate complex numbers, then ...

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  5. Prove that following inequalities: |z/(|z|)-1|lt=|a rgz| (ii) |z-1|lt=...

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  6. If x=1+i is a root of the equation =x^3-i x+1-i=0, then the other real...

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  7. Find the modulus, argument, and the principal argument of the complex ...

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  8. Find the principal argument of the complex number ((1+i)^5(1+sqrt(3i))...

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  9. Column I, Column II: possible argument of z=a+i b a b >0 , p. tan^(...

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  10. If the expression x^2+2(a+b+c)+3(b c+c+a b) is a perfect square, then ...

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  11. Find the point of intersection of the curves a r g(z-3i)=(3pi)/4a n d ...

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  12. The curve y=(lambda+1)x^2+2 intersects the curve y=lambdax+3 in exac...

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  13. Column I, Column II (one of the values of z ) z^4-1=0 , p. z=cospi/...

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  14. Let za n dw be two nonzero complex numbers such that |z|=|w|a n d arg...

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  15. The number of irrational roots of the equation (4x)/(x^2+x+3)+(5x)/(x^...

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  16. If |z+barz|+|z-barz|=2 then z lies on (a) a straight line (b) a set of...

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  17. If one vertex of the triangle having maximum area that can be inscribe...

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  18. The number of complex numbers z satisfying |z-3-i|=|z-9-i|a n d|z-3+3i...

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  19. If the equation x^2-3p x+2q=0a n dx^2-3a x+2b=0 have a common roots a...

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  20. Solve the equation 3^(x^2-x)+4^(x^2-x)=25.

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