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NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
- If omega is an imaginary cube root of 1, then (1+omega-omega^(2))^(5)+...
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- If |z-3+i|=4, then the locus of z is
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- If x satisfies x^(2)-2x cos theta +1=0, then the value of x^(n)+((1)/(...
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- The value of [((-1+isqrt(3)))/(2)]^(3n)+[((-1-isqrt(3)))/(2)]^(3n) is
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- If theta= (pi)/(6), then the 10th term of the series 1+(cos theta +isi...
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- If 4=5i is a root of the quadratic equation x^(2)+ax+b=0, then (a,b)=
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- If alpha" and "beta are the roots of the quadratic equation 4x^(2)+3x+...
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- If alpha" and "beta are the roots of ax^(2)+bx+c=0 and alpha+k, beta+k...
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- If 3p^(2)=5p+2" and "3q^(2)= 5q+2, where p ne q, then the equation wh...
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- The value of ((-1+sqrt(-3))/(2))^(26)+((-1-sqrt(-3))/(2))^(26) is
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- If (sqrt(3)-i)^(50)= 2^(48)(x-iy), then x^(2)+y^(2) is equal to
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- The value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580...
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- If |(z-i)/(z+i)|=1, then the locus of z is
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- The condition that one root of the equation ax^(2)+bx+c=0 may be squar...
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- If alpha is one root of the equation 4x^(2)+2x-1=0, then the other roo...
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- If the roots of the equation (a)/(x-a)+(b)/(x-b)=1 are equal in magnit...
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- The equation of smallest degree with real coefficients having 2+i3 as ...
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- If the expression a(b-c)x^(2)+b(c-a)xy+c(a-b)y^(2) is a perfect square...
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- If sqrt(a + ib) = x + iy, then possible value of sqrt(a - ib) is
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- If (1+i)(1+2i)(1+3i)"……."(1+ni)=a+ib," then "2xx5xx10xx"………"xx(1+n^2) ...
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