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.

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

$\sqrt{2(x-1)(2x^2 + 2x + 3)}$

$(x-3)^2 + x^4$

$\sqrt{(x-3)^2 + x^4}$

$\sqrt{2(x-1)(2x^2 + 2x + 3)}$

✅ Correct Option: 3

Sumit at $(x, x^2+7)$ , Amit at $(3, 7)$ . $D = \sqrt{(x-3)^2 + (x^2+7-7)^2} = \sqrt{(x-3)^2 + x^4}$ .

Question 46

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

Distance between Sumit and Amit in terms of xxx is :

Solution

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Keyboard Shortcuts

CUET Mathematics Past Year Questions (Topic-Wise)

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