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CENGAGE-Quadratic Equations, Inequalities, Modulus and Logarithms-Question Bank
- Let a , b , c , d be positive integers such that (log)a b=3/2a n d(log...
03:54
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- Find the largest natural number a for which the maximum value of f(x)=...
05:35
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- If a positive real number x satisfy the condition x^(5)-x^(3)+ x=1 the...
02:02
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- If the quadratic equations 3 x^(2)+a x+1=0 and 2 x^(2)+b x+1=0 have a ...
03:26
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- The value of the expression x^(4)-8 x^(3)+18 x^(2)-8 x+2 when x=cot...
04:45
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- If lambda(1) and lambda(2) be two values of lambda for which the expre...
05:12
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- If k be an integer and p is a prime such that the quadratic equation x...
02:14
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- If the equation x^(3)+k x^(2)+3=0 and x^(2)+k x+3=0 have a common root...
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- 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)+...
04:35
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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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