Find the value of $k$ for which $x^{2} - 4 x + k = 0$ has coincident roots.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

-2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

-4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
4

For $x^{2} - 4 x + k = 0$

Discriminant
$D = 4^{2} - 4 k = 16 - 4 k$

The roots of quadratic equation are coincident only when $D = 0$

$\Rightarrow 16 - 4 k = 0$

$\Rightarrow k = 4$

Suggest Corrections

Similar questions

x^{2} + 4 x - k = 0

Find the value of 'a' for which the quadratic equation $x^{2} - 2 a x + 2 a - 1 = 0$ has equal roots.

Join BYJU'S Learning Program