Q. 14.0( 4 Votes )

# The values of k f A. ± 2√ 3

B. ± 3√ 2

C. ± 2√ 6

D. ± √ 6

Answer :

Any quadratic equation in the form ax^{2} + bx + c = 0 has equal roots if and only if Discriminant, D = 0

Where, D = b^{2} – 4ac

In the given equation,

a = 2

b = k

c = 3

Now, above equation will have equal roots if

D = 0

i.e.

(k)^{2} – 4(2)(3) = 0

⇒ k^{2} = 24

⇒ k= ±2√6

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