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If he roots of the equation12 x^2-m x+5=...

If he roots of the equation`12 x^2-m x+5=0` are in the ratio 2:3 then find the value of `mdot`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If alpha,beta are roots of x^2+p x+1=0a n dgamma,delta are the roots o...

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  3. If he roots of the equation12 x^2-m x+5=0 are in the ratio 2:3 then fi...

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  4. If alphaa n dbeta are the roots of x^2-a(x-1)+b=0 then find the value ...

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  5. The equation formed by decreasing each root of ax^(2)+bx+c=0 by 1 is2x...

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  6. If the sum of the roots of an equation is 2 and the sum of their cubes...

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  7. If x is real and (x^2+2x+c)//(x^2+4x+3c) can take all real values, of ...

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  8. If alpha,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 , t...

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  9. If x^2+a x+bc=0 a n d x^2+b x+c a=0(a!=b) have a common root, then pro...

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  10. Let alpha,beta are the roots of x^2+b x+1=0. Then find the equation wh...

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  11. Find the greatest value of a non-negative real number lambda for which...

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  12. If a ,b ,c in R such that a+b+c=0a n da!=c , then prove that the root...

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  13. If the fraction (x^3+(a-10)x^2-x+a-6)/(x^3+(a-6)x^2-x+a-10) reduces to...

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  14. If the equation (a-5)x^2+2(a-10)x+a+10=0 has roots of opposite sign, t...

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  15. If alphaa n dbeta are the roots of ax^2+bx+c=0a n dSn=alpha^n+beta^n,...

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  16. If alpha is a root of the equation 4x^2+2x-1=0, then prove that 4alp...

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  17. If both the roots of x^2-a x+a=0 are greater than 2, then find the val...

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  18. If (y^2-5y+3)(x ^2+x+1)<2x for all x in R , then fin the interval i...

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  19. The values of 'a' for which 4^x-(a-4) 2^x+(9a)/4<0 AAx in(1,2) is

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  20. Find the number of positive integral values of k for which kx ^(2) +(k...

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