MyQuestionIcon

1

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

Complex Numbers

If equation a...

Question

If equation $a x^{2} + 2 c x + b = 0$ and $a x^{2} + 2 b x + c = 0$ have one root in common, then a + 4b + 4c equals

A

0

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

B

-1

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

C

-2

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

D

1

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

Open in App

Solution

The correct option is A
0

$\frac{a}{4} + 2 c \times \frac{1}{2} + b = 0$

$\Rightarrow a + 4 b + 4 c = 0$

Suggest Corrections

thumbs-up

0

Similar questions

Q. If the quadratic equation

a x^{2} + 2 c x + b = 0

a x^{2} + 2 b x + c = 0 (b \neq c)

have a common root, then

a + 4 b + 4 c =

Q. If the quadratic equation,

a x^{2} + 2 c x + b = 0

a x^{2} + 2 b x - 5 x + c = 0 (b \neq c)

hava a common root then find the value of

a + 4 b + 4 c

Q. If the equation

a x^{2} + 2 b x + c = 0

a x^{2} + 2 c x + b = 0, a \neq 0, b \neq c

, have a common root, then their other roots are the roots of the quadratic equation

Q. If the quadratic equations

a x^{2} + 2 c x + b = 0

a x^{2} + 2 b x + c = 0, (b \neq c)

have a common root, then

a + 4 b + 4 c

Q. The equation

a x^{2} - 2 b x + c = 0, b x^{2} - 2 c x + a = 0

c x^{2} - 2 a x + b = 0

will have only positive roots provided

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Complex Numbers

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon