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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
- Let a ,b ,c be real. If a x^2+b x+c=0 has two real roots alphaa n dbet...
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- For what values of m epsilonR, both roots of the equation x^(2)-6mx+9m...
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- If ax^2-bx + c=0 have two distinct roots lying in the interval (0,1); ...
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- The set of values of a for which the inequality, x^2 + ax + a^2 + 6a ...
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- Find all integral values of a for which the quadratic expression (x - ...
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- Find the values of the parameter a for which 4^x-a.2^x-a+3 <= 0 for at...
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- Find all values of the parameter a for which the inequality a.9^x +4(a...
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- Solve the equation sqrt(a(2x^x-2)+1)=1-2^x ,x in Rdot
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- Find the possible values of 'a' such that the inequality 3-x^(2)gt ...
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- The sum of all the integral value(s) of k in [0, 15] for which the ine...
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- The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...
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- If alpha,betaa n dgamma are roots of 2x 63+x^3-7=0 , then find the val...
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- If f(x)=x^2+b x^2+c x+da n df(0),f(-1) are odd integers, prove that f(...
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- If a, b, c are in GP, then the equations ax^2 +2bx+c = 0 and dx^2 +2ex...
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- Show that the minimum value of (x+a)(x+b)//(x+c)dotw h e r ea > c ,b >...
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- Find the values of a for which the expression (ax^2+3x-4)/(3x-4x^2+a) ...
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- If |(12x)/(4x^(2)+9)| le 1, then
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- Prove that for all real values of xa n dy ,x^2j+2x y+3y^2-6x-2ygeq-11.
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- The value(s) of m for which the expression 2x^2+mxy+3y^2-5y-2 can be ...
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- if alpha is a real root of the quadratic equation ax^2+bx+c=0 and beta...
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