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The value(s) of m for which the expressi...

The value(s) of m for which the expression `2x^2+mxy+3y^2-5y-2` can be factorized in to two linear factors are:

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the linear factors of 2x^2-y^2-x+x y+2y-1.

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  2. If a<0,b>0, then sqrt(a)sqrt(b) is equal to (a)-sqrt(|a|b) (b...

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  3. The value(s) of m for which the expression 2x^2+mxy+3y^2-5y-2 can be ...

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  4. Find the number of solutions of z^2+overlinez = 0

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  5. If a1x^3 + b1x² + c1x + d1 = 0 and a2x^3 + b2x^2+ c2x + d2 = 0 have a ...

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  6. Consider the equation 10 z^2-3i z-k=0,w h e r ez is a following comple...

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  7. If x-c is a factor of order m of the polynomial f(x) of degree n (1 < ...

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  8. If z1a n dz2 are two complex numbers such that |z1|=|z2|a n d arg(z1)+...

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  9. Solve the equation x^3-13 x^2+15 x+189=0 if one root exceeds the other...

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  10. If tantheta and sectheta are the roots of a x^2+b x+c=0, then prove th...

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  11. Given that the complex numbers which satisfy the equation | z bar z ^...

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  12. If the roots of the equation x^2-b x+c=0 are two consecutive integers,...

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  13. Let ...

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  14. For what real value of 'a' do the roots of x^2-2x-(a^2-1)=0 lie betwee...

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  15. If P and Q are represented by the complex numbers z1 and z2 such that ...

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  16. Find the value of a for which the equation a sin(x+pi/4)=sin2x+9...

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  17. Given z=f(x)+ig(x) where f,g:(0,1) to (0,1) are real valued functions....

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  18. Let a ,b and c be real numbers such that a+2b+c=4 . Find the maximum v...

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  19. If z=x+i y , then the equation |(2z-i)/(z+1)|=m does not represents a ...

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  20. Prove that for real values of x ,(a x^2+3x-4)//(3x-4x^2+a) may have a...

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