Calculus

Application of Derivatives

Easy

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 :

$(10, 93)$

$(10, 17)$

$(10, 107)$

$(10, 3)$

✅ Correct Option: 3

When $x = 10$ , $y = 10^2 + 7 = 100 + 7 = 107$ . So Sumit's position is $(10, 107)$ .

Question 47

Distance between Sumit and Amit in terms of $x$ is :

Question 48

If D is the distance between Sumit and Amit, then the value of $x$ for which D is minimum, is :

Question 49

The position of Sumit when Amit will hit the paper ball is :

Question 50

Minimum value of D is :

Sumit's position, when x=10x = 10x=10 is :

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

Sumit's position, when $x = 10$ is :