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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- Simplify: (sqrt(5+12 i)+sqrt(5-12 i))/(sqrt(5+12 i)-sqrt(5-12 i))
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- Find a quadratic equation whose product of roots x1 and x2 is equa...
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- If sqrt(5-12 i)+sqrt(-5-12 i)=z , then principal value of a rgz can be
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- If (x+i y)(p+i q)=(x^2+y^2)i , prove that x=q ,y=pdot
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- If a and b(!=0) are the roots of the equation x^2+a x+b=0, then find...
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- 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 C of the triangle ABC me...
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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=barz2 then z=x+iy is equal to
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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 , x ->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 (cos(pi/2)+i sin(pi/2))(cos(pi/(2^2))+i s...
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- If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' a...
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