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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If alpha,beta,gamma,delta are four complex numbers such that gamma/del...
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- If ax^(2)+(b-c)x+a-b-c=0 has unequal real roots for all c epsilon R, ...
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- If z1^2+z2^2+2z1.z2.costheta= 0 prove that the points represented by ...
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- Prove that the circles z bar z +z( bar a 1)+bar z( a1 )+b1=0 ,b1 in ...
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- If a , b ,c real in G.P., then the roots of the equation a x^2+b x+c=0...
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- If z0 is the circumcenter of an equilateral triangle with vertices z1,...
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- Two different non-parallel lines cut the circle |z| = r at points a...
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- If the equations x^2+p x+q=0 and x^2+p^(prime)x+q^(prime)=0 have a com...
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- Prove that |z-z1|^2+|z-z2|^2=k will represent a real circle with cente...
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- Complex numbers z1 , z2 , z3 are the vertices A, B, C respectively of ...
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- Given that alpha,gamma are roots of the equation A x^2-4x+1=0,a n dbet...
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- The area of the triangle in the complex plane formed by the points z, ...
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- Intercept made by the circle zbar z +bar az+abar z+r=0 on the real a...
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- The graph of the quadratic trinomial y=a x^2+b x+c has its vertex at (...
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- if iz^3+z^2-z+i=0 then show that absz=1
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- Show that the equation of a circle passing through the origin and ha...
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- The function f(x)=a x^3+b x^2+c x+d has three positive roots. If the ...
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- let z1=10+6i and z2=4+6i if z is nay complex number such that argument...
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- Let vertices of an acute-angled triangle are A(z1),B(z2),a n dC(z3)dot...
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- If (18x^2+12x+4)^n = a0 +a(1x)+ a(2x)^2 +......+ a(2n)x^(2n), prove th...
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