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The range of real values of 'p' for whic...

The range of real values of 'p' for which the equation `2log_3^2 x-|log_3 x| +p = 0` has four distinct solutions is

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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. Find the integral values of a for which the equation x^4-(a^2-5a+6)x^2...

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  2. Find the values of k so that the quadratic equation x^2 + 2(k-1)x + k+...

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  3. The range of real values of 'p' for which the equation 2log3^2 x-|log...

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  4. For what values of the parameter a the equation x^(4)+2ax^(3)+x^(2)+2a...

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  5. For what values of the parameter a the equation x^(4)+2ax^(3)+x^(2)+2a...

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  6. Find the integral values of a for which (a+2)x^2+2(a+1)x+a=0 will have...

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  7. Consider the inequation 9^(x) -a3^(x) - a+ 3 le 0, where a is real p...

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  8. Find t values of the parameter a such that the rots alpha,beta of the ...

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  9. If the roots of 10x^3-cx^2-54x -27 0 are in harmonic progression, then...

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  10. Find the roots alpha, beta, gamma, of x^3-11 x^2+36 x-36=0if2/beta=1/a...

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  11. If the roots of x^3+px^2+qx+r=0 are in GP find the relation between p,...

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  12. If (mr ,1//mr),r=1,2,3,4, are four pairs of values of xa n dy that sat...

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  13. If two roots of the equation x^3-px^2+qx-r=0 are equal in magnitude bu...

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  14. Solve the equation 24x^3-14x^2-63x + alpha= 0, one root being double ...

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  15. If alpha,beta,gamma be the roots of ax^3+bx^2+cx+d=0 then find the val...

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  16. If alpha,beta,gamma be the roots of ax^3+bx^2+cx+d=0 then find the val...

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  17. If alpha,beta,gamma are the roots of the equation ax^3+bx^2+cx+d=0 the...

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  18. If the equation x^2+px+q=0andx^2+p'x+q'=0 have a common root , prove t...

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  19. Find the sum of all the values of m so that , the equations 3x^(2)-2mx...

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  20. Prove that equations (q-r)x^2 + (r-p)x + p-q = 0 and (r-p)x^2+(p-q)x+q...

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