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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
- 1 < (3 x^2 - 7x + 8)/(x^2 + 1) <2
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- Solve for x in R : 4^(x^2)=< 3.2^(x^2+2)+ 4^(x+1).
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- Solve abs(x-1) + abs(x-2) + abs(x-3)ge 6, x in R.
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- Solve abs(abs(x-2)-1) ge 3.
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- If x=4/9 satisfies the equation (log)a(x^2-x+2)>(log)a(-x^2+2x+3), the...
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- If log(3x+5)(a x^2+8x+2)>2 then x lies in the interval
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- Let there be a quotient of two natural numbers in which the derin whic...
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- If p and q are odd integers the equation x^2 + 2px + 2q = 0 cannot hav...
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- If the roots of x^2-ax+b=0 are real and differ by a quantity which is ...
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- If altbltcltd the equation (x-a)(x-c)+lambda(x-b)(x-d)=0 has real root...
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- If p is the first of the n arithmetic means between two numbers and q ...
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- Let a ,b in na n a > 1. Also p is a prime number. If a x^2+b x+c=p fo...
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- Given two quadratic equation x^2-x+m=0 and x^2-x+3m=0, m!=0. Find the ...
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- If a, b, c are in HP, find the relation between the roots of ax^2+bx+c...
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- 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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