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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- find the centre and radius of the circle formed by all the points repr...
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- If a ,b ,c are three distinct positive real numbers, the number of rea...
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- Find the non-zero complex number z satisfying z =i z^2dot
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- Let a,b and c be real numbers such that 4a+2b+c=0 and ab gt 0.Then t...
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- If |z|<=1,|w|<=1, then show that |z- w|^2<=(|z|-|w|)^2+(argz-argw)^2
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- If alpha,beta are the roots of the equation x^2-2x+3=0 obtain the equa...
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- For complex numbers z and w prove that absz^2w-abs(w)^2z=z-w if and on...
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- If alpha,beta are the roots of the equation a x^2+b x+c=0, then the va...
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- let z1 and z2 be roots of the equation z^2+pz+q=0 where the coefficien...
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- 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=0 and gamma,delta be the root...
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- Let ...
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- If f(x)=x^2+2bx=2c^2 and g(x)=-x^2-2cx+b^2 are such that min f(x)gtmax...
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- Let z be a complex number such that the imaginary part of z is non zer...
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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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