Question Bookmark 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 Medium Solution verified Verified by Toppr Correct option is D) The given equation is P(x)=x 2 −3x+2k Comparing with the standard form of quadratic polynomial ax 2 +bx+c=0 we get a=1,b=−3,c=2k We know that α= 2a −b+ D ​ ​ ,β= 2a −b− D ​ ​ , where D=b 2 −4ac Then we get, α+β= a −b ​ = 1 −(−3) ​ α.β= a c ​ = 1 2k ​ Now, α+β=α.β ...... (Given) ∴3=2k ∴k= 2 3 ​ Hence, the answer is 2 3 ​ .

 Question

Bookmark

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
verified
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 .

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