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HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
- If x is real, the maximum value of (3 x^(2)+9 x+17)/(3 x^(2)+9 x+7) is
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- All the values of m for which both roots of the equation x^(2)-2 m x+(...
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- If the roots of the quadratic equation x^(2)+p x+q=0 are tan 30^(circ)...
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- If the difference between the roots of the equation x^(2)+a x+1=0 is l...
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- The quadratic equations : x^(2) - 6x + a = 0 and x^(2) - cx + 6 = ...
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- If the roots of the equation bx^(2)+cx+a=0 be imaginary then fro all r...
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- If alpha , beta are the roots of the equation : x^(2) + x sqrt(alp...
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- The number of solutions of the equation : sin (e^(x)) = 5^(x) + 5^(...
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- If the sum of the roots of the equation a x^(2)+b x+c=0 is equal to th...
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- Given that a x^(2)+b x+c has no real roots and a+b+c lt 0 then,
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- The roots of the equation |x^(2)-x-6|=x+2 are
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- If a, b, c are positive real numbers, then the number of real roots of...
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- The value of 'a' for which the equation x^(3) + ax + 1 = 0 and x^(4) +...
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- If alpha and beta are the roots of x^(2) + qx + 1 = 0 and gamma, delt...
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- If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and d...
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- Let x(1), x(2) be the roots of the equation x^(2)-3 x+p=0 and let x(3)...
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- Both the roots of the equation : (x - b) (x -c) + (x - c) (x - a) +...
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- If x^(2)+x+1 is a factor of a x^(3)+b x^(2)+c x+d, then the real root ...
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- If a le 0 then the real values of x satisfying x^(2)-2 a|x-a|-3 a^(2)=...
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- If x^(2)-3 x+2 is a factor of x^(4)-p x^(2)+q, then the values of p an...
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