Question

Assertion (A): If one zero of polynomial p(x) = (k+1)x+ 13x + 4k is reciprocal Reason (R): If (x-a) is a factor of p(x), then p(a)=0 i.e. a is a zero of p(x) of other, then k = 2.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of

assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Asertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.​

Answer 1

Step-by-step explanation:

Let's assume the roots of the polynomial be α,  

α

1

​

 

Product of the roots of the polynomial =  

k  

2

+4

4k

​

 

⇒α×  

α

1

​

=  

k  

2

+4

4k

​

 

⇒  

k  

2

+4

4k

​

=1

⇒4k=k  

2

+4

⇒k  

2

−4k+4=0

⇒(k−2)  

2

=0

⇒k=2