Let f(x) = ax^(3) + 5x^(2) - bx + 1. If ...

Let `f(x) = ax^(3) + 5x^(2) - bx + 1`. If `f(x)` when divide by `2x + 1` leaves `5` as remainder, and `f'(x)` is divisible by `3x - 1`, then

24,12

26,12

26,10

none

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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 2

The equation (6-x)^(4)+(8-x)^(4)=16 has
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If x^(2)+x+1 is a factor of ax^(3)+bx^(2)+cx+d, then the real root of ...
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Let f(x) = ax^(3) + 5x^(2) - bx + 1. If f(x) when divide by 2x + 1 lea...
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If x^3+3x^2-9x=c is of the form (x-alpha)^2(x-beta) , then c is equal ...
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If the two roots of the euqation (lamda-1) (x^(2)+x+1)^(2)-(lamda+1)(x...
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The value of a for which the quadratic equation 3x^(2) + 2a^(2) + 1x...
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If 1 lies between the roots of the equation 3x^(2)-3 sin alpha x -2 co...
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If a.4^(tan x)+ a.4^(-tan x) -2=0 has real solutions, where 0 le x le ...
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If the equation (cos theta - 1) x^(2) + (cos theta ) x + sin theta =0 ...
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If the roots of the equation (x-p) (x-q) =p^(2)- 2q^(2) be real and di...
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The value of a for which the equation 2x^(2)-2(2a+1) x+a(a-1)=0 has ro...
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Find the valuesof m for which exactly one root of the equation x^(2)-2...
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The value of lamda for. Which 2x^(2)-2(2 lamda+1) x+lamda (lamda +1)=0...
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If the equation ax^(2)+bx+c=0 (a gt 0) has two roots alpha and beta su...
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Find the values of a if x^2-2(a-1)x+(2a+1)=0 has positive roots.
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If the equation x^2 +2(a+1)x+9a−5=0 has only negative root, then
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The value of k for which both the roots of the equation 4x^(2)-20kx+(2...
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If the roots of the equation x^2-2ax+a^2+a-3=0are real and less than 3...
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If both the roots of the equation x^(2)-12kx+k^(2)+k-5=0 are less than...
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If both the roots of the equation x^(2)-6ax+2-2a+9a^(2)=0 exceed 3, th...
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