9303753286127016 If α and β are the zeroes of polynomial P(x)=x 2 −3x+2k, and α+β=α.β, then the value of k is ............... A 3 B -3 C 1 D 3/2

If α and β are the zeroes of polynomial P(x)=x 2 −3x+2k, and α+β=α.β, then the value of k is ............... A 3 B -3 C 1 D 3/2

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If  and  are the zeroes of polynomial , and , then the value of k is ...............

A

3

B

-3

C

1

D

3/2

Medium
Solution
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Verified by   GMS
Correct option is D)

The given equation is 

Comparing with the standard form of quadratic polynomial  we get



We know that , where 

Then we get,





Now,  ...... (Given)


Hence, the answer is .

Balkishan Agrawal

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s vision for the school is centered on providing a nurturing environment where every student can thrive, learn, and grow.

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