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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- The equation (x^2+x+1)^2+1=(x^2+x+1)(x^2-x-5) for x in (-2,3) will h...
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- Convert of the complex number in the polar form: 1-i
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- If alpha,beta are the roots of a x^2+c=b x , then the equation (a+c y)...
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- If z=r e^(itheta) , then prove that |e^(i z)|=e^(-r sintheta)
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- If the roots of the equation x^2+2a x+b=0 are real and distinct and th...
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- Z1!=Z2 are two points in an Argand plane. If a|Z1|=b|Z2|, then prove t...
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- If the ratio of the roots of a x ^2+2b x+c=0 is same as the ratio of r...
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- Find real value of x and y for which the complex numbers -3+i x^2y ...
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- Show that ((x+b)(x+c))/((b-a)(c-a))+((x+c)(x+a))/((c-b)(a-b))+((x+a)(x...
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- Show that e^(2m itheta)((icottheta+1)/(i cottheta-1))^m=1.
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- A certain polynomial P(x)x in R when divided by kx-a ,x-ba n dx-c lea...
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- It is given that complex numbers z1 and z2 satisfy |z1|=2 and |z2|=3....
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- If c ,d are the roots of the equation (x-a)(x-b)-k=0 , prove that a, b...
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- If z1^2+z2^2+2z1.z2.costheta= 0 prove that the points represented by ...
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- If (a^2-1)x^2+(a-1)x+a^2-4a+3=0 is identity in x , then find the val...
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- Show that a real value of x will satisfy the equation (1-i x)//(1+i x)...
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- Prove that the roots of the equation (a^4+b^4)x^2+4a b c dx+(c^4+d^4)=...
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- If a+i b=((x+i)^2)/(2x^2+1), prove that a^2+b^2=((x^2+1)^2)/((2x^2+1)^...
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- If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then f...
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- Solve :z^2+|z|=0 .
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