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NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
- The locus of z such that |(1+iz)/(z+i)|=1 is
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- The value of sum(k=0)^(n)(i^(k)+i^(k+1)), where i^(2)= -1, is equal to
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- Let z(1)=(2sqrt(3)+ i6sqrt(7))/(6sqrt(7)+ i2sqrt(3))" and "z(2)=(sqrt(...
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- If the equation ax^(2)+bx+c=0, a gt 0, has two distinct real roots alp...
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- If alpha " and "beta are the distinct roots of ax^(2)+bx+c=0, where a,...
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- If the equations x^(2)+ax+bc=0 and x^(2)+bx+ca=0 have a common root an...
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- If y= x+(1)/(x), x ne 0, then the equation (x^(2)-3x+1)(x^(2)-5x+1)=6x...
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- Let x(1)" and "y(1) be real numbers. If z(1)" and "z(2) are complex nu...
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- Let z(1)" and "z(2) be complex numbers such that z(1)+ i(bar(z2))=0" a...
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- If z is a complex number such that z+|z|=8+ 12i, then the value of |z^...
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- The value of (1)/(i)+(1)/(i^2)+(1)/(i^3)+"……"+(1)/(i^(102) is equal to
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- Let the complex numbers z(1),z(2),z(3)" and "z(4) denote the vertices ...
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- The quadratic equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 has equal ro...
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- Let alpha" and "beta be the roots of the equation px^(2)+qx+r=0. If p,...
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- If the roots of the equation x^(2)+px+c=0 are 2,-2 and the roots of th...
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- If a is a root of the equation x^(2)-3x+1=0, then the value of (a^3)/(...
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- If the sum of the roots of the equation (a+1)x^(2)+(2a+3)x+(3a+4)=0, i...
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- The product of the roots of the equation x|x|-5x-6=0 is equal to
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- If z=((sqrt(3)+i)^(3)(3i+ 4)^(2))/((8+6i)^(2)), then |z| is equal to
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- Let w ne pm 1 be a complex number. If |w|=1" and "z=(w-1)/(w+1), then ...
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