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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
- If the roots of 4-3x+5x^2+x^3=0 are alpha,beta,gamma then the value of...
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- The equation x^2+2(gamma+1)x+a(a-4)=0 has negative roots only if gamma...
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- The solution-set of x^4-1>0,x in R is .
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- If x^(2)+ax+b=0 and x^(2)+bx+a=0,(a ne b) have a common root, then a+b...
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- The sum of a number and its reciprocal is (10)/(3), find the number(s)...
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- Solve 3^(x-1)+3^(1-x)=2 is
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- The number of real solutions of the equation sin (e^x)= 5^x+5^-x
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- For the equation x^(3/4(logx)^(2)+log(2)x-5/4)=sqrt2, which one of the...
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- The equation x-2//x-1=1-2//x-1 has a. no root b. one root c. two equal...
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- If l ,m ,n are real l!=m , then the roots of the equation (l-m)x^2-...
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- . For what value of m will the equation (x^2-bx)/(ax-c)=(m-1)/(m+1) h...
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- If alphaa n dbeta are the roots of x^2+p x+q=0a n dalpha^4,beta^4 are ...
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- If x^2 + mx + 1 = 0 and (b-c)x^2 + (c-a)x + (a-b) =0 have both roots c...
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- Solve the equation x^4-4x^2+8x+35=0 gine that one of roots is 2+sqrt(-...
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- Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then t...
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- If the roots of the equation x^3-12 x^2+39 x-28=0 are in A.P. th...
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- If P(x)=ax^2+bx+c, Q(x)=-ax^2+dx+c where ac!=0 then P(x).Q(x)=0 has
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- if b^(2)ge4ac for the equation ax^(4)+bx^(2) +c=0 then roots of the e...
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- The largest interval for whichx^(12)+x^9+x^4-x+1>0 -4<xlt=0 b. 0<x<1 ...
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- IF a^2 + b^2 +c^2 =1 then the range of ab+bc +ca is
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