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Find the nonzero value of k for which th...

Find the nonzero value of k for which the roots of the quadratic equation `9x^(2)-3kx+k=0` are real and equal.

A

`k=pm1`

B

`k=1` only

C

`k=0" or "k=1`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
`D=(-3k)^(2)-9k=9k^(2)-9k=9k(k-1).`
For equal roots, we must have D = 0.
Now, `D=0implies9k(k-1)=0impliesk=0" or "k-1=0impliesk=0" or "k=1.
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