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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
- 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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- The difference between the roots of the equation x^(2) + kx + 1=0 is ...
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- The real value of a for which x^2+i(a-1)x+5=0 will have a pair of con...
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- If a, b, c are positive then both roots of the equation ax^2 + bx+c=0
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- The expression a^2x^2+bx+1 will be positive for all x in R if
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- If x ,y ,a n dz are real and different and u=x^2+4y^2+9z^2-6y z-3z x-2...
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- The least value of ax^2+bx+c,(a>0) is
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- If x be real, then the maximum value of 5+4x-4x^2 will be equal to
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- If x^2+p x=1 is a factor of the expression a x^3+b x=c , then a^2-c^2=...
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- If a+b+c=0, then, the equation 3ax^(2)+2bx+c=0 has , in the interval ...
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- If the value of ax^2+bx+c is always an integer for integral values of ...
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- If a gt 1 , then the roots of the equation (1-a)x^(2)+3ax-1=0 are
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- Fill in the blank : If f(x) = x+1/x , x in R Then the set of possible ...
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