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CENGAGE-Quadratic Equations, Inequalities, Modulus and Logarithms-Question Bank
- If a x^(2)+b x+c=0 and b x^(2)+c x+a=0, a, b, c ne 0 have a common roo...
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- Let r(1), r(2) and r(3) be the solutions of the equation x^(3) - 2 x^(...
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- If f(x)=((x+3)^(201)(x-1)^(102)(x-5)^(305))/(x^(5)(3 x+4)^(503)), th...
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- The equation alpha x^(3)-2(alpha+1) x^(2)+4 alpha x=0 has real roots a...
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- Number of integral values of b for which inequality (a^(2)+1) x^(2)...
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- Let f(x)=ax^(2)+bx+c, a ne 0, a, b, c in I. Suppose that f(1)=0, 50 lt...
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- If alpha, beta be the roots of x^(2)+x+2=0 and gamma, delta be the roo...
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- The number of integral value(s) of a so that the graph of y=16 x^(2)+8...
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- Number of integral values of a such that the quadratic equation x^(2)+...
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- If P(x)=x^(2)+a x+1. If P(x) is a negative integer for only one real x...
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- If A=((log (2) 3)^(3)-(log (2) 6)^(3)-(log (2) 12)^(3)+(log (2) 24)^(3...
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- If a, b and c be the roots of 3 x^(3)+8 x+7=0, then the value of (a+b)...
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- If alpha, beta, gamma are roots of equation x^(3)-2 x^(2)-1=0 and ...
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- The minimum value of the expression x^(2)-k x+alpha is 6 which is obta...
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- If alpha, beta are the roots of the equation x^(2)-3 x-15=0, and ...
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- If a,b,c,d in R-{0} , such that a,b are the roots of equation x^(2)+cx...
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- If x+y+z=5 and x y+y z+z x=3, then the greatest value of (x) is
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- Number of values of x satisfying the pair of quadratic equations x^(2)...
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- If (y^(2)-5 y)(x^(2)+2 x+4) lt 2, for all x in R, then number of integ...
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- Number of integral value(s) of ' x ' satisfying the equation |2 x+1|...
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