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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- Let A ,B ,C ,D be four concyclic points in order in which A D : A B=C ...
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- Convert (1+3i)/(1-2i) into the polar form.
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- If the sum of the roots of the equation (a+1)x^2+(2a+3)x+(3a+4)=0 is ...
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- Let the altitudes from the vertices A, B and Cof the triangle e ABCmee...
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- For |z-1|=1, show that tan{[a r g(z-1)]/2}-((2i)/z)=-i
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- The quadratic polynomial p(x) has the following properties:p(x)geq0 fo...
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- If z1=9y^2-4-10ix, z2=8y^2-20i, where z1=overline z2, then find z=x+i...
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- If a rg(z1)=170^0 and arg(z2)=70^0 , then find the principal argument...
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- z1, z2 and z3 are the vertices of an isosceles triangle in anticlockwi...
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- function f , R ->R , f(x) = (3x^2+mx+n)/(x^2+1) , if the range of func...
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- If z(1) and z(2) are conjugate to each other , find the principal argu...
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- If a is a complex number such that |a|=1, then find the value of a, s...
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- If x^2+p x+1 is a factor of the expression a x^3+b x+c , then a^2-c^2=...
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- Find the value of expression (cospi/2+i sin(pi/2))(cos(pi/(2^2))+i si...
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- Solve for z , i.e. find all complex numbers z which satisfy |z|^2-2i z...
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- If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' a...
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- If a ,b are complex numbers and one of the roots of the equation x^2+a...
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- If |z1|=|z2|=1, then prove that |z1+z2|= |1/z1+1/z2∣
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- If (a x^2+c)y+(a^(prime)x^2+c^(prime) )=0 and x is a rational function...
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- Find the principal argument of the complex number sin(6pi)/5+i(1+cos(6...
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