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If a x^2+b x+6=0 does not have distinct ...

If `a x^2+b x+6=0` does not have distinct real roots, then find the least value of `3a+bdot`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the number of complex numbers which satisfies both the equations ...

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  2. Let omega be the complex number cos(2pi/3)+isin(2pi/3) Then the number...

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  3. If a x^2+b x+6=0 does not have distinct real roots, then find the leas...

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  4. |z-2-3i|^2+|z-4-3i|^2=lambda represents the equation of the circle wit...

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  5. Match the statements/expressions given in column I with the values g...

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  6. A quadratic trinomial P(x)=a x^2+b x+c is such that the equation P(x)...

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  7. If (sqrt(8)+i)^(50)=3^(49)(a+i b) , then find the value of a^2+b^2dot

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  8. Let a ,b ,c in Q^+ satisfying a > b > c . Which of the following stat...

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  9. Find the complex number satisfying system of equation z^(3)=-((omega))...

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  10. If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value of...

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  11. If |z-i R e(z)|=|z-I m(z)| , then prove that z , lies on the bisectors...

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  12. For any integer k let alphak=cos((kpi)/7)+isin((kpi)/7) where i=sqrt(-...

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  13. If x=1+1/(3+1/(2+1/(3+1/(2)))) a 52/2 b. 55/71 c. 60/52 d....

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  14. Show that (x^2+y^2)^4=(x^4-6x^2y^2+y^4)^2+(4x^3y-4x y^3)^2dot

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  15. Let omega=e^(ipi/3),and a,b,c,x,y,z be non zero complex numbers such t...

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  16. Find the values of a for which all the roots of the euation x^4-4x^3-8...

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  17. if z is any complex number satisfying abs(z-3-2i)le2 then the minimum ...

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  18. Let |(( bar z 1)-2( bar z 2))//(2-z1( bar z 2))|=1 and |z2|!=1,where z...

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

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  20. Let 1,w,w^2 be the cube root of unity. The least possible degree of a ...

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