1.

The value (s) of k such that the equation kx2 + 6x + k = 0 has equal roots is ……………A) ± 3 B) ± 6 C) -6 and 3 D) 9

Answer»

Correct option is (A) ± 3

For equal roots, we have

Discriminant = 0

\(\Rightarrow6^2-4\times k\times k=0\)

\(\Rightarrow36-4k^2=0\)

\(\Rightarrow4k^2=36\)

\(\Rightarrow k^2=9\)

\(\Rightarrow\) k = \(\pm\,\,3\)

Correct option is A) ± 3



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