KCET · Maths · Application of Derivatives
In a regular graph of 15 vertices the sum of the degree of the vertices is 60 . Then, the degree of each vertex is
- A 5
- B 3
- C 4
- D 2
Answer & Solution
Correct Answer
(C) 4
Step-by-step Solution
Detailed explanation
Let degree of each vertex be \(K\).
Then, by condition,
\(\begin{aligned}
& & 15 K &=60 \\
\Rightarrow & & K &=4
\end{aligned}\)
So, the required degree of each vertex is 4 .
Then, by condition,
\(\begin{aligned}
& & 15 K &=60 \\
\Rightarrow & & K &=4
\end{aligned}\)
So, the required degree of each vertex is 4 .
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