If (p(x)=7x+c) and (p(6)=p(2)+28), what is correct about (c)?
Answer and explanation
Correct answer: \(c\) का प्रत्येक मान मान्य है
We have \(p(6)=42+c\) and \(p(2)=14+c\). Therefore, \(p(6)-p(2)=(42+c)-(14+c)=28\). The constant \(c\) cancels on subtraction, so the given condition is true for every value of \(c\). Values such as \(c=0\) or \(c=28\) are merely particular cases, not necessary conditions. Exam tip: write both function values and subtract them; a common constant term often cancels.
Frequently asked questions
What is the correct answer to this question?
\(c\) का प्रत्येक मान मान्य है
Why is this the correct answer?
We have \(p(6)=42+c\) and \(p(2)=14+c\). Therefore, \(p(6)-p(2)=(42+c)-(14+c)=28\). The constant \(c\) cancels on subtraction, so the given condition is true for every value of \(c\). Values such as \(c=0\) or \(c=28\) are merely particular cases, not necessary conditions. Exam tip: write both function values and subtract them; a common constant term often cancels.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
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