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Match the following : If alpha,beta,ga...

Match the following :
If `alpha,beta,gamma` are zeroes of a cubic polynomial
`ax^3+bx^2+cx+d(a ne 0)`, then………

A

(i)-c,(ii)-b,(iii)-a

B

(i)-a,(ii)-b,(iii)-c

C

(i)-b,(ii)-a,(iii)-c

D

(i)-c,(ii)-a,(iii)-b

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Match of the following : If alpha, beta , gamma are zeroes of a cubic polynomial ax^(3) + bx^(2) + cx + d , (a != 0) , then ………. {:((i) alpha+beta +gamma, (a) -d/a),((ii) alphabeta +betagamma+gamma alpha, (b) c/a),((iii) alphabeta gamma, (c) -b/a):}

    A
    (i) - c , (ii) - b , (iii) -a
    B
    (i) - a , (ii) - b , (iii) -c
    C
    (i) - b , (ii) - a , (iii) - c
    D
    (i) - c , (ii) - a , (iii) - b
  • If alpha, beta, gamma are the zeroes of the cubic polynomial ax^(3) + bx^(2) + cx +d and (a != 0) , then alpha beta gamma = ……….

    A
    `d/a`
    B
    `- d/a`
    C
    `-b/a`
    D
    `c/a`
  • If alpha , beta , gamma are roots of a cubic polynomial alpha + beta + gamma = ……………..

    A
    `c/a`
    B
    `b/a`
    C
    `(-b)/a`
    D
    None
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