CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Purely Imaginary

If the roots ...

Question

If the roots of the equation $x^{2} + a^{2} = 8 x + 6 a$ are real, then

A

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

B

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

C

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

D

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

Open in App

Solution

The correct option is B
Since, its roots are real
$∴ 64 - 4 (a^{2} - 6 a) \geq 0$
$\Rightarrow - 2 \leq a \leq 8$
$\Rightarrow a ϵ [- 2, 8]$

Suggest Corrections

thumbs-up

0

Similar questions

Q. If the roots of the equation

x^{2} - 8 x + a^{2} - 6 a = 0

are real, then the value of

a

Q. If the roots of the equation x² – 8x + a² – 6a = 0 are real, then 'a' lies in the interval ____________.

Q. If the roots of the equations

x^{2} + a^{2} = 8 x + 6 a

are real, then find the interval of

a

Q. If the root of the equation

x^{2} + a^{2} = 8 x + 6 a

are real, then find the interval

a

Q. If the roots of the equation

x^{2} - 8 x + a^{2} - 6 a = 0

are real and distinct then find number of all possible integral values of

a

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Geometric Representation and Trigonometric Form

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Purely Imaginary

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon