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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
- 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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- Fill in the blank : If 1+ i is a root of the equation ix^2-3x+p = 0 wh...
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- Equation cos 2x+7=a(2-sin x) can have a real solution for
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- If alpha,beta be the roots of x^2 - x-1 = 0 and An = alpha^n +beta^n, ...
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- For all lambda in R, The equation ax^2+ (b - lambda)x + (a-b-lambda)= ...
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- Prove that (a^2 + b^2) x^2 - 2b(a+c)x + (b^2+ c^2) ge 0 for all x in R...
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