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If ax^(2) +bx +c=0 has equal roots....

If ` ax^(2) +bx +c=0 ` has equal roots. Then c is equal to :

A

` (b^(2))/( 4a) `

B

` (b^(2))/( 2a) `

C

` (b^(2))/( a)`

D

` -(b^(2))/( 4a)`

Text Solution

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The correct Answer is:
a
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Knowledge Check

  • If ax^(2)+bx+c=0 has equal roots, 'c' is equal to

    A
    `(-b)/(2a)`
    B
    `(b)/(2b)`
    C
    `(-b^(2))/(4a)`
    D
    `(b^(2))/(4a)`

  • If x^(2)-p x+q=0 has equal integral roots, then

    A
    p and q are even integers
    B
    p and q are odd integers
    C
    p is an even integer and q is a perfect square of a positive integer
    D
    q is an even integer and p is odd

  • If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)) lt (a + b) , then c is always :

    A
    `lt `0
    B
    `gt` 0
    C
    `ge` 0
    D
    0

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