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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
- If alpha,beta are roots of ax^2+2bx+c=0 then sqrt(alpha/beta)+sqrt(bet...
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- if 2 = I sqrt3 be a root of the equation x^(2) + px + q =0, where p ...
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- The value of sqrt(2+sqrt(2+sqrt(2+......oo is .
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- If the roots of x(3-x^2)+2x^2=0 are alpha,beta,gamma then the value of...
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- 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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