A helicopter flying along the path y=7+x...

A helicopter flying along the path `y=7+x^((3)/(2))`, A soldier standint at point `((1)/(2),7)` wants to hit the helicopter when it is closest from him, then minimum distance is equal to (a) `(1)/(6)(sqrt2)/(3)` (b) `(1)/(2)` (c) `(1)/(3)sqrt((2)/(3))` (d) `sqrt((5)/(2))`

`(1)/(2)`

`(1)/(3)sqrt((7)/(3)`

`(1)/(6)sqrt((7)/(3))`

`(sqrt(5))/(6)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
RESONANCE|Exercise High Level Problems (HLP)|33 Videos
APPLICATION OF DERIVATIVES
RESONANCE|Exercise Exersise-3 Part I|27 Videos
COMBINATORICS
RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

A helicopter flying along the path y=7+x^(3/2), A soldier standing at point ((1)/(2),7) wants to hit the helicopter when it is closest from him,then minimum distance is equal to (a) (1)/(6)(sqrt(2))/(3) (b) (1)/(2)(c)(1)/(3)sqrt((2)/(3))(d)sqrt((5)/(2))

An Apache helicopter of enemy is flying along the curve given by y=x^(2)+7 A soldier,placed at (3,7), wants to shoot down the helicopter when it is nearest to him. Find the nearest distance.

A helicopter is flying along the curve y=x^(2)+2 . A soldier is placed at the point (3, 2). Find the nearest distance between the solider and the helicopter.

If x=1+(1)/(3+(1)/(2+(1)/(2+(1)/(2oo))))a sqrt((5)/(2))b*sqrt((3)/(2))csqrt((7)/(3))d.sqrt((5)/(3))

(1)/(sqrt(9)-sqrt(8)) is equal to: 3+2sqrt(2)(b)(1)/(3+2sqrt(2)) (c) 3-2sqrt(2)(d)(3)/(2)-sqrt(2)

The shortest distance between the line yx=1 and the curve x=y^(2) is (A)(3sqrt(2))/(8) (B) (2sqrt(3))/(8) (C) (3sqrt(2))/(5) (D) (sqrt(3))/(4)

tan^(2)((1)/(2)sin^(-1)(2)/(3))= (A) (7+3sqrt(3))/(2) (B) (7-5sqrt(3))/(2) (C) (7-3sqrt(5))/(2) (D) (7+5sqrt(3))/(2)

If tan^(-1)x+2cot^(-1)x=(2 pi)/(3), then x, is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3)(d)sqrt(2)

If x=5+2sqrt(6), then sqrt((x)/(2))-(1)/(sqrt(2x))= (a) 1 (b) 2 (c) 3 (d) 4

What is the value of (1)/(sqrt(5)+sqrt(3))+(2)/(3+sqrt(5))-(3)/(3+sqrt(3))?-(1)/(2) (b) 0( c) (1)/(2)(d)1

RESONANCE-APPLICATION OF DERIVATIVES-Exersise-3 Part II

Let f : R to R be defined by if (x)= {underset(2x + 3 " ", " "i...
Text Solution
|
Let f: R R be a continuous function defined by f(x)""=1/(e^x+2e^(-...
Text Solution
|
The equation of the tangent to the curve y""=""x""+4/(x^2) , that is p...
Text Solution
|
Let f be a function defined by - f(x) ={underset(1" "," ...
Text Solution
|
The shortest distance between line y-x=1 and curve x=y^2 is
Text Solution
|
A spherical balloon is filled with 4500p cubic meters of helium gas...
Text Solution
|
Let a, b R be such that the function f given by f(x)""=""ln""|x|""+""...
Text Solution
|
The real number k for which the equation, 2x^3+""3x""+""k""=""0 has tw...
Text Solution
|
If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...
Text Solution
|
If x = -1 and x = 2 are extreme points of f(x) = alpha log|x| + beta x...
Text Solution
|
A wire of length 2 units is cut into two parts which are bent respe...
Text Solution
|
Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...
Text Solution
|
Twenty metres of wire is available for fencing off a flower-bed in ...
Text Solution
|
The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve i...
Text Solution
|
The radius of a circle, having minimum area, which touches the curv...
Text Solution
|
If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...
Text Solution
|
Let f(x)=x^2+(1/x^2) and g(x)=x-1/x xinR-{-1,0,1}. If h(x)=(f(x)/g(x)...
Text Solution
|
Let A(4,-4) and B(9,6) be points on the parabola y^(2)=4x. Let C b...
Text Solution
|
A helicopter flying along the path y=7+x^((3)/(2)), A soldier standint...
Text Solution
|
Let f(x) = (x)/(sqrt(a^(2)+x^(2))=((d-x))/(sqrt(b^(2)+(d-x)^(2)) x in ...
Text Solution
|