If x^2+p x+1 is a factor of the expressi...

If `x^2+p x+1` is a factor of the expression `a x^3+b x+c ,` then `a^2-c^2=a b` b. `a^2+c^2=-a b` c. `a^2-c^2=-a b` d. none of these

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions

Let z1, z2a n dz3 represent the vertices A ,B ,a n dC of the triangl...
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Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...
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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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If |z| < sqrt(2)-1,t h e n|z^2+2zcosalpha|i s a. less than 1 b. sqr...
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On the Argand plane z1, z2a n dz3 are respectively, the vertices of an...
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If z(Re z ne2) be a complex number such that z^2-4z=absz^2+16/absz^3 t...
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Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are ...
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Find the locus of the points representing the complex number z for...
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The equation x-2/(x-1)=1-2/(x-1) has a. no root b. one root c. t...
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Identify the locus of z if bar z = bar a +(r^2)/(z-a).
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If the expression (1 + ir)^3 is of the form of s(1+ i) for some real '...
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Two towns Aa n dB are 60 km apart. A school is to be built to serve 15...
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Find the amplitude of sinalpha+i(1-cosalpha)
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Modulus of non zero complex number z satisfying barz +z=0 and |z|^2-4...
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Find the condition on a , b ,c ,d such that equations 2a x^3+bx^2+c x+...
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Let z=9+b i ,and b is nonzero real and i^2=-1. If the imaginary part ...
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Prove that ifz1,z2 are two complex numbers and cgt0 then abs((z1+z2)...
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Let f(x), g(x), and h(x) be the quadratic polynomials having positive ...
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Find the minimum value of |z-1| if ||z-3|-|z+1||=2.
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If x=omega-omega^2-2 then , the value of x^4+3x^3+2x^2-11x-6 is (where...
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