A student Sumit is running on a playground along the curve given by \(y = x^2 + 7\). Another student Amit standing at a point with co-ordinates (3,7) on the playground wants to hit Sumit by paper ball, when Sumit is nearest to him.
Based on the above information answer the following.
Sumit’s position, when \(x = 10\) is :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (10, 107)
Sumit is always on the curve \(y = x^2 + 7\). At x = 10:
\(y = 10^2 + 7 = 107\)
So his position is (10, 107).