Home
Class 12
MATHS
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

`sqrt5/6`

B

`1/6 sqrt(7/3)`

C

`1/2`

D

`1/3 sqrt(7/3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|14 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|36 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -1|102 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos
  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

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.

Find the point on the curve y^2=2x which is at a minimum distance from the point (1,\ 4) .

The distance between points (2,-7,3) and (-2,7,3) is:

Q is the image of point P(1, -2, 3) with respect to the plane x-y+z=7 . The distance of Q from the origin is.

A helicopter is flying at 200 m and flying at 25 ms^(-1) at an angle 37^@ above the horizontal when a package is dropped from it. If the helicopter flies at constant velocity, find the x and y coordinates of the location of the helicopter when the package lands.

A helicopter is flying at 200 m and flying at 25 ms^(-1) at an angle 37^@ above the horizontal when a package is dropped from it. The distance of the point O where the package lands is

A plane 2x+3y+5z=1 has a point P which is at minimum distance from line joining A(1, 0, -3), B(1, -5, 7), then distance AP is equal to

A helicopter is moving verticallly upwards with a velocity 5 ms^-1 . When the helicopter is at a height 10 m from ground, a stone is thrown with a velocity (3 hat i + 4 hat j) m s^-1 from the helicopter w.r.t. the man in it. Considering the point on ground vertically below the helicopter as the origin of coordinates, and the ground below as xy plane, find the coordinates of the point where the stone will fall, its distance from origin at the instant the stone strikes the ground, assuming helicopter moves upwards with constant velocity. .

The distance between the points (1,3) and (x,7) is 5, find x.

A jet of enemy is along the curve y=x^2+2 and a soldier is placed at (3,2).Find the minimum distance between the jet and soldier.

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-Level -2
  1. If are positive integers, maximum value of x^(m) (a-x)^(n)" in (0,a)...

    Text Solution

    |

  2. The maximum value of (sin x)^((sin x)) is

    Text Solution

    |

  3. A helicopter flying along the path y=7+x^((3)/(2)), A soldier standint...

    Text Solution

    |

  4. Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreas...

    Text Solution

    |

  5. The largest term in the sequence an=(n^2)/(n^3+200) is given by (529)/...

    Text Solution

    |

  6. The least value of f (x) =x^3/3-abx occurs at x=

    Text Solution

    |

  7. For the curve defined as y=cosec^(-1)((1+x^2)/(2x))+sec^(-1)((1+x^2)/(...

    Text Solution

    |

  8. If f(x)=max{x^(2)-4,|x-2|,|x-4|} then:

    Text Solution

    |

  9. Given that f (x) is a non-constant linear function. Then the curves :

    Text Solution

    |

  10. If a curve with equation of the form y=ax^(4)+bx^(3)+cx+d has zero gra...

    Text Solution

    |

  11. If the area of the triangle included between the axes and any tangent ...

    Text Solution

    |

  12. Show that the maximum value of (1/x)^x is e^(1//e) .

    Text Solution

    |

  13. Consider, f (x) is a function such that f(1)=1, f(2)=4 and f(3)=9 ...

    Text Solution

    |

  14. Statement 1 : f(x)=log(e+x) (pi+x) is strictly increasing for all . ...

    Text Solution

    |

  15. The largest area of the trapezium inscribed in a semi-circle or radius...

    Text Solution

    |

  16. The points of extremum of phi (x)=int(1)^(x)e^(-t^(2//2)) (1-t^(2)) dt...

    Text Solution

    |

  17. A rectangle has one side on the positive y-axis and one side on the po...

    Text Solution

    |

  18. Let f(x)= cos x sin 2x then choose the best option :

    Text Solution

    |

  19. Let f(x)=a x^3+b x^2+c x+d , a!=0 If x1 and x2 are the real and disti...

    Text Solution

    |

  20. If A+B=pi/3 where A, B > 0, then minimum value of sec A + sec B is equ...

    Text Solution

    |