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SIA PUBLICATION-QUADRATIC EXPRESSIONS AND THEORY OF EQUATIONS -Problems
- The range of (x^2 + 2x +1)/( x^2 +2x -1) is
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- If x(1) and x(2) are the real roots of the equation x^(2)-kx+c=0, then...
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- If x is real, then the minimum value of y=(x^(2)-x+1)/(x^(2)+x+1) is
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- p and q are distinct prime numbers and if the equation x^2 -px ...
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- The cubic equation whose roots are the squares of the roots of x^(3) -...
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- IF the harmonic mean between the roots of (5 + sqrt(2))x^2-bx +...
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- The set of solutions satisfying both x^(2)+5x+6 ge0 and x^(2)+3x-4lt0 ...
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- If the roots of x^(3) - 42x^(2) + 336x - 512 = 0 , are in increasing g...
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- If alpha and beta are the roots of the equation x^2-2x+4=0...
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- In a triangle PQR angle R=(pi)/(4), if tan (p/3) and tan ((Q)/...
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- The product of real roots of the equation |x|^(6//5)-26|x|^(3//5...
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- If alpha, beta and gamma are the roots of the equation x^(3)+px^(2)+qx...
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- Let A=|(2, e^(ipi)),(-1,i^(2012))|,C=(d)/(dx)(1/x)(x=1),D={:(1),(int)...
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- if a gt 0 and b^2 - 4ac =0 , then the curve y= ax^2 +bx +c
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- If tan A and tan B are the roots of the quadratic equation x^(2)-px+q...
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- The value of a for which the equations x^(3)+ax+1=0 and x^(4)+ax^(2)+1...
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- If x is real, then the value of (x^(2)-3x+4)/(x^(2)+3x+4) lies in the ...
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- For x in R, the least value of (x^(2)-6x+5)/(x^(2)+2x+1) is
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- { x in R:(14x)/(x+1)-(9x-30)/(x-4)lt0} is equal to
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- The condition that the roots of x^(3)-bx^(2)+cx-d=0 are in geometric ...
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