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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-III
- Solve the equation 6x^3 -11x^2 +6x -1=0 the roots being in H.P
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- The quotient obtained when 3x^4 -x^3 +2x^2 -2x -4 is divided by ...
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- The value of k so that x^4 -4x^3 +5x^2 -2x +k is divisible by ...
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- The equation whose roots are 1,2 +- 3i is
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- The polynomial equation of the lowest degree having roots 1 , ...
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- The equation of lowest degree with rational coefficient having ...
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- If one root of x^3 -6x^2 +3x +10 =0 is 2 then the remaining t...
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- If one root of 10 x^3 -x^2 - 278 x + 165=0 is 5 then product ...
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- If the product of two of the roots of x^3 +kx ^2 -3x+4=0 is -1 ...
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- The condition for one root of x^3+ax^2+bx+c=0 is sum of the ot...
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- If one of the roots of 18x^3 + 81x^2 + 121 x+60=0 is equal to ...
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- If the roots of the equation x^3 -9x^2 + 23x-15=0 are in A.P t...
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- If the roots of 24x^3 - 26 x^2 + 9x -1=0 are in H.P then the ...
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- If alpha , beta , gamma are the roots of x^3 -3ax^2 +3 bx -c=0...
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- If the root of kx^3 - 18x^2 - 36 x+8=0 are in H.P then k=
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- If the roots of x^3 -14x^2 + 56x-64 =0 are in G.P then the mid...
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- If x^4 - 12x ^3 +52 x^2 - 96 x+64=0 have pairs of equal roots t...
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- If the roots of x^4 -2x^3 - 21x^2 + 22 x + 40 =0 are in A.P then...
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- If the roots of 27x^(4) - 195x^(3) + 494x^(2) - 520x + 192 = 0 are in...
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- The roots of x^3 - 13x^2 +39 x-27=0 are in
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- If x^3 -3x^2 + 4=0 has a multiple root then that multiple root i...
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