Let the point on the curve be (a,a2+7). Square of distance from (3,7): D2=(a−3)2+a4. Minimising: dad(D2)=2(a−3)+4a3=0, giving 2a3+a−3=0, so a=1. Then point is (1,8) and distance =(1−3)2+(8−7)2=4+1=5.
An energy DRONE is flying along the curve y = x^2 + 7. A soldier is placed at (3, 7). The nearest distance of the DRONE from soldier's position is
CUET UG 2022 — Mathematics Calculus
2022mcqmedium
An energy DRONE is flying along the curve y=x2+7. A soldier is placed at (3,7). The nearest distance of the DRONE from soldier's position is
Official previous-year question
Held on 10 Aug 2022 · Verified 13 Jul 2026.
Options
- A
2
- B
3
- C
5
- D
7
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