Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

<div>If alpha and beta are the zeroes of the polynomial 6y(squared)+7y+2 , find quadratic &nbsp; &nbsp;polynomial , whose zeroes are 1/ alpha and 1/ beta ?</div>
Asked by suresh bhaskar | 09 Jul, 2016, 02:20: PM
Expert Answer
begin mathsize 12px style Given space that space straight alpha space and space straight beta space are space the space zeroes space of space the space polynomial space 6 straight y squared plus 7 straight y plus 2.
rightwards double arrow straight alpha plus straight beta equals fraction numerator negative 7 over denominator 6 end fraction space and space αβ equals 2 over 6 equals 1 third
Now comma sum space of space the space zeroes equals space 1 over straight alpha plus 1 over straight beta equals fraction numerator straight alpha plus straight beta over denominator αβ end fraction equals fraction numerator fraction numerator negative 7 over denominator 6 end fraction over denominator 1 third end fraction equals fraction numerator negative 7 over denominator 2 end fraction
product space of space the space zeroes equals 1 over straight alpha 1 over straight beta equals 1 over αβ equals 3
So comma space the space required space polynomial space is comma
straight y squared minus left parenthesis sum space of space the space zeroes right parenthesis straight y space plus product space of space the space zeroes
equals straight y squared plus 7 over 2 straight y plus 3
end style
Answered by Rebecca Fernandes | 09 Jul, 2016, 06:08: PM
CBSE 10 - Maths
Asked by navneetpra499 | 19 Jul, 2022, 05:06: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by vangasathwikreddy3 | 13 Jul, 2022, 10:50: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by hr31448 | 01 Jun, 2022, 07:33: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by anuragtikekar2006 | 07 May, 2022, 06:33: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by rimeelaad | 08 Sep, 2021, 12:10: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Ui
Asked by Vadderamakrishna2 | 30 Aug, 2021, 12:17: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by smartboy20044 | 20 Aug, 2021, 07:43: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by hvsl123 | 24 Jun, 2021, 05:30: PM
ANSWERED BY EXPERT
Season Break Offer!
Get 60% Flat off instantly.
Avail Now
×