An Apache helicopter of enemy is flying along the curve given by y = x 2 + 7. A soldier placed at (3, 7) (with respect to reference point) wants to shoot down the helicopter when it is nearest to him. If all the distances are taken in meter, find the nearest integral value of least distance in cm.
Text Solution
Verified by Experts0224
Ans. 0224
Sol. Let helicopter is at (x, x 2 +7) then distance between helicopter and soldier placed at (3, 7) is
⇒ 
Let f(x) = (x – 3) 2 + x 4 ⇒ f ′ (x) = 2(x – 3) + 4x
3 = 2 (x – 1)(2x 2 + 2x + 3)
⇒ f ′ (x) = 0 ⇒ x = 1
so f(x) least = 5
distance = 
mtr = 2.2361 m = 223.61 cm
nearest integer = 224
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems