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SIA PUBLICATION-QUADRATIC EXPRESSIONS AND THEORY OF EQUATIONS -Problems
- 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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- Let alpha !=1 be a real root of the equation x^(3)-ax^(2)+ax-1=0, whe...
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- The root of (x-a)(x-a-1)+(x-a-1)(x-a-2)+(x-a)(x-a-2)=0, a in R are alw...
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- Let f(x)=x^(2)+ax+b, where a, b in R. If f(x)=0 has all its roots imag...
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- If alpha, beta , gamma are the roots of x^(3)+4x+1=0, then the equatio...
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- If f(x)=2x^(4)-13x^(2)+ax+b is divisible by x^(2)-3x+2, then (a, b) is...
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- If alpha and beta are the roots of x^(2)-2x+4=0, then the value of alp...
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- Let alpha and beta be the roots of quadratic equation ax^(2)+bx+c=0. M...
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- IF alpha + beta =- 2 and alpha ^3 + beta ^3 =- 56 , then the ...
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- The cubic equation, whose roots are thrice to each of the roots of x^(...
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- The sum of the fourth powers of the roots of the equation x^(3)+x+1=0 ...
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- If alpha and beta are roots of the equation ax^(2)+bx+c=0 and if px^(...
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