## The value of ‘K’ for which the quadratic equation 2kx2 + x + 3 = 0 has equal roots, is (a) 24 (b) 1/24 (c) -24 (d) – 1/24

Question

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## Answers ( )

Answer:Step-by-step explanation:Equal roots means that D = 0,In the equation, a= 2k, b= 1 and c=3 and also D = 0 (given)D = b^2 – 4ac0 = (1)^2 – 4 (2k) (3)0 = 1 – 24k24k = 1k = 1/24 Hence correct option is (b) i.e. 1/24.Follow me for more such answers. Thank you.2kx^2+x+3

It has equal roots..,so discriminant D=0

D=b^2-4ac

(In the given equation.., a=2 , b=1 , c=3)

(1)^2-4(1)(3)=0

1-24k=0

-24k=-1

K=-1/-24

Therefore k=1/24

Option (b) is correct

Hope this helps you.. 🙂