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HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
- If one root of the equation x^(2)+p x+12=0 is 4, while the equation x^...
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- If 2 a+3 b+6 c=0, a, b, c in R then the equation a x^(2)+b x+c=0 has a...
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- If (1-p) is a root of the quadratic equation x^(2)+p x+(1-p)=0 then it...
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- The value of a for which the sum of the squares of the roots of the eq...
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- If both the roots of the quadratic equation x^(2)-2 k x+(k^(2)+k-5)=0 ...
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- 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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