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HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
- 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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- If the equations x^(2)+b^(2)=1-2b x and x^(2)+a^(2)=1-2 a x have one a...
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- If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...
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- Let a, b, c be real. If a x^(2)+b x+c=0 has two real roots alpha and...
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- Let (sin a) x^(2)+(sin a) x+(1-cos a)=0 . The set of values of a for w...
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- If p, q, are real and p ne q then the roots of the equation (p-q) x^(...
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- The value of ' c ' for which |alpha^(2)-beta^(2)|=(7)/(4) where alpha ...
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- If alpha, beta are the roots of the equation λ (x^(2)-x)+x+5=0 and if ...
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- If alpha and beta are the rotos of a x^(2)+b x+c=0 the equation whose ...
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- If alpha, beta are the rots of a x^(2)+b x+c=0 and alpha+h, beta+h are...
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- If x^(2) + ax + b = 0 and x^(2) + bx + a = 0 have a common root, then...
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- The minimum value of 2 x^(2)+x-1 is
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