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If the zeroes of the quadratic ax^(2)+bx...

If the zeroes of the quadratic `ax^(2)+bx+c` where `c ne 0`, are equal then:

A

`c` and `a` have opposite signs

B

`c` and `b` have opposite signs

C

`c` and `a` have same signs

D

`c` and `b` have same signs

Text Solution

Verified by Experts

The correct Answer is:
C
Give quadratic polynomial is `ax^(2)+bx+c` where `c ne 0`
The zeroes of this polynomial are equal if discriminant=0
`implies " " b^(2)-4ac=0`
`implies " " ac=(b^(2))/(4)`
`implies " " ac gt 0`
(`:'` square of any real number cannot be negative)
which is possible only when a and c have the same signs.
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