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NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
- 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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- If z= e^((2pi i)/(3)), then 1+z+3z^(2)+2z^(3)+2z^(4)+3z^(5) is equal t...
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- If z(1)= 2sqrt(2)(1+i)" and "z(2)=1+isqrt(3), then z(1)^(2)z(2)^(3) is...
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- If the complex numbers z(1), z(2)" and "z(3) denote the vertices of an...
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- If the roots of x^(2)-ax+b=0 are two consecutive odd integers, then a^...
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- If alpha" and "beta are the roots of x^(2)-ax+b^(2)=0, then alpha^(2)+...
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- If alpha" and "beta are the roots of the equation x^(2)+3x-4=0, then ...
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- The value of x such that 3^(2x)-2(3^(x+2))+81=0 is
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- If the roots of the equation x^(2)+2bx+c=0 are alpha" and "beta, " the...
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- The equation whose roots are the squares of the roots of the eqation 2...
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- z and omega are two nonzero complex number such that |z|=|omega|" and ...
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- If |z-4| lt |z-2|, its solution is given by
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- The locus of the centre of a circle which touches the circle |z-z(1)|=...
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- If alpha ne beta" but "alpha^(2)=5 alpha-3" and "beta^(2)= 5 beta-3 th...
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- Difference between the corresponding roots of x^(2)+ax+b=0" and "x^(2)...
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- Product of real roots of the equation x^(2)+|x|+9=0
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