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The least value of the expression `x^2+4y^2+3z^2-2x-12 y-6z+14` is a.`1` b. no least value`` c. `0` d. none of these

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If z1a n dz2 are complex numbers and u=sqrt(z1z2) , then prove that |z...

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  3. The least value of the expression x^2+4y^2+3z^2-2x-12 y-6z+14 is a...

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  4. If omega is an imaginary cube root of unity, then (1+omega-omega^2)^7 ...

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  5. If |z|=1 and let omega=((1-z)^2)/(1-z^2) , then prove that the locus o...

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  6. If x=2+2^(2//3)+2^(1//3) , then the value of x^3-6x^2+6x is

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  7. Let z=x+i ydot Then find the locus of P(z) such that (1+ bar z )/z ...

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  8. (costheta + isintheta)^4/(sintheta + icostheta)^5 is equal to.

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  9. Find the values of k for which |(x^2+k x+1)/(x^2+x+1)|<2,AAx in R

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  11. If z is a complex number satisfying z^4+z^3+2z^2+z+1=0 then the set of...

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  12. Solve the equation sqrt(a(2^x-2)+1)=1-2^x ,x in Rdot

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  14. Let Z1 = (8 + i)sin theta + (7 + 4i)cos theta and Z2 = (1 + 8i)sin th...

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  15. For a<0, determine all real roots of the equation x^2-2a|x-a|-3a^2=0.

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  16. Let A={a in R} the equation (1+2i)x^3-2(3+i)x^2+(5-4i)x+a^2=0 has at ...

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  17. Express the following in a+i b form: ((cosalpha+isinalpha)^4)/((sinbe...

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  18. Find the root of equation 2x^2+10 x + 20=0.

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  19. Suppose that z is a complex number the satisfies |z-2-2i|lt=1. The max...

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  20. If 1//x+x=2costheta , then prove that x^n+1//x^n=2cosnthetadot

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