Math, asked by saranya428, 8 months ago

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Answers

Answered by amitkumar44481
3

AnsWer :

C ) b = - c.

Solution :

We have, Polynomial.

 \tt \dagger \:  \:  \:  \:  \: p(x) =  a{x}^{2}  + bx + c

Condition.

  • Sum of zeros and product of zeros be equal.

 \blacksquare \:  \tt Sum  \: of \:  Zeros . \\   \tt\alpha  +  \beta  =  \dfrac{ - b}{a}   = \dfrac{coefficient \: x}{coefficient \:  {x}^{2} }

 \blacksquare \:  \tt product  \: of \:  Zeros . \\   \tt\alpha    \beta  =  \dfrac{ c}{a}   = \dfrac{constant \: term}{coefficient \:  {x}^{2} }

A/Q,

 \tt \longmapsto  \dfrac{ - b}{ \cancel a}  =  \dfrac{c}{ \cancel a}

 \tt \longmapsto  - b=c.

Or, We can also Write as,

 \tt \longmapsto  b= - c.

Therefore, Option C) is right answer of this question.

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