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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If a in (-1,1), then roots of the quadratic equation (a-1)x^2+a x+sqrt...
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- The maximum value of |a r g(1/(1-z))| for |z|=1,z!=1 is given by.
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- If one root is square of the other root of the equation x^2+p x+q=0, t...
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- If z^4+1=sqrt(3)i (A) z^3 is purely real (B) z represents the vertic...
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- Let alpha,beta be the roots of the quadratic equation a x^2+b x+c=0 an...
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- If x=a+bi is a complex number such that x^2=3+4i and x^3=2+11i, where...
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- Let alpha,beta be the roots of x^2-x+p=0a n dgamma,delta are roots of ...
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- If the difference between the roots of the equation x^2+""a x""+""1...
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- If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...
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- Let z be a complex number such that the imaginary part of z is nonzero...
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- For the equation 3x^2+p x+3=0,p >0, if one of the root is square of th...
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- Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi Then a...
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- Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) be the minimum value of f(x)do...
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- For any two complex numbers z1 and z2, , prove that Re (z1 z2) = Re ...
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- If alphaa n dbeta are the roots of the equation x^2+b x+c=0,where <mat...
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- If omega(!= 1) be an imaginary cube root of unity and (1+omega^2)^n=(...
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- If b > a , then the equation (x-a)(x-b)-1=0 has (a) both roots i...
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- Let z1a n dz2 be complex numbers such that z1!=z2 and |z1|=|z2|dot If ...
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- The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has a. no solution b. o...
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- If z1, z2 are complex number such that (2z1)/(3z2) is purely imaginary...
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