Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

If f(x)=a+bx+cx2 and α,β,γ are the roots of the equation x3=1, then a    b    cb    c    ac    a    b  equal to

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

f(α)+f(β)+f(γ)

b

f(α)f(β)+f(β)f(γ)+f(γ)f(α)

c

f(α)f(β)f(γ)

d

−f(α)f(β)f(γ)

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

abcbcacab=−a3+b3+c3−3abc=−(a+b+c)a+bω2+cωa+bω+cω2=−f(α)f(β)f(γ)  (where ω is cube roots of unity) ∵α=1,β=ω,γ=ω2
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring
If f(x)=a+bx+cx2 and α,β,γ are the roots of the equation x3=1, then a    b    cb    c    ac    a    b  equal to