CameraIcon

SearchIcon

MyQuestionIcon

1

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

Local Maxima

x2-11x+a and ...

Question

$x^{2} - 11 x + a$ and $x^{2} - 14 x + 2 a$ will have a common factor, if $a =$

A

24

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

B

0, 24

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

C

3, 24

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

D

0, 3

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

Open in App

Solution

The correct option is B $0, 24$
$a_{1} = 1, b_{1} = - 11, c_{1} = a$
$a_{2} = 1, b_{2} = - 14, c_{2} = 2 a$
Since, one root common $\to$
$(a_{1} c_{2} - a_{2} c_{1})^{2} = (a_{1} b_{2} - a_{2} b_{1}) (b_{1} c_{2} - b_{2} c_{1})$
$(2 a - a)^{2} = (- 14 + 11) (- 22 a + 14 a)$
$a^{2} = (8 a) (3)$
$a = 0; a = 24$

Suggest Corrections

thumbs-up

0

Similar questions

x^{2} - 11 x + a

x^{2} - 14 x + 2 a

have common factor, then value(s) of

a

x^{2} - 11 x + a = 0

x^{2} - 14 x + 2 a = 0

have a common factor, then

a

Q. Determine positive

a

x^{2} - 11 x + a

x^{2} - 14 x + 2 a

may have a common factor.

Q. Determine positive values of

^{'} a^{'}

x^{2} - 11 x + a

x^{2} - 14 x + 2 a

may have a common factor.

Q. If the two polynomials

x^{2} - 11 x + a

x^{2} - 14 x + 2 a

have a common factor, then

a =

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Extrema

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon