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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
- Find the integral values of a for which (a+2)x^2+2(a+1)x+a=0 will have...
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- Consider the inequation 9^(x) -a3^(x) - a+ 3 le 0, where a is real p...
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- Find t values of the parameter a such that the rots alpha,beta of the ...
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- If the roots of 10x^3-cx^2-54x -27 0 are in harmonic progression, then...
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- Find the roots alpha, beta, gamma, of x^3-11 x^2+36 x-36=0if2/beta=1/a...
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- If the roots of x^3+px^2+qx+r=0 are in GP find the relation between p,...
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- If (mr ,1//mr),r=1,2,3,4, are four pairs of values of xa n dy that sat...
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- If two roots of the equation x^3-px^2+qx-r=0 are equal in magnitude bu...
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- Solve the equation 24x^3-14x^2-63x + alpha= 0, one root being double ...
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- If alpha,beta,gamma be the roots of ax^3+bx^2+cx+d=0 then find the val...
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- If alpha,beta,gamma be the roots of ax^3+bx^2+cx+d=0 then find the val...
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- If alpha,beta,gamma are the roots of the equation ax^3+bx^2+cx+d=0 the...
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- If the equation x^2+px+q=0andx^2+p'x+q'=0 have a common root , prove t...
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- Find the sum of all the values of m so that , the equations 3x^(2)-2mx...
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- 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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- Prove that , if the equations x^2+bx+ca=0 and x^2+cx+ab=0 have only no...
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- If the two equation x^(2)-cx+d=0 and x^(2)-ax+b=0 have one common root...
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- If ax^2+2bx+c=0 and a1x^2=2b1x+c1=0 have commonroot and a/a1,b/b1,c/c1...
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- If equations ax^(2)-bx+c=0 (where a,b,c epsilonR and a!=0) and x^(2)+2...
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- If a,b,c, a1,b1,c1 are rational and equations ax^2+2bx+c=0 and a1x^2+2...
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