Home
Class 12
MATHS
An Apache helicopter of enemy is flying ...

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.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TELUGU|Exercise EXERCISE 6.1|18 Videos

  • APPLICATION OF DERIVATIVES

    NCERT TELUGU|Exercise EXERCISE 6.2|22 Videos

  • APPLICATION OF INTEGRALS

    NCERT TELUGU|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

A jet of an enemy is flying along the curve y=x^2+2 . A soldier is placed at the point (3,2). What is the nearest distanced between the soldier and the jet

The point on the curve y=x^2 which is nearest to (3,0) is

The point on the curve y=x^(2) is nearest to (3,0) is

Find the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the line 3x+2y+1=0

The equation of the tangent to the curve y=x^3-2x+7 at (1,6) is

The curves y=x^3, 6y=7-x^2 intersect at (1, 1) at an angle of

The gradient of the curve y=x^3-3x^2-2x+7 at (1,3) is

A particle moves along the curve 6y = x^(3) +2. Find the points on the curve at which the y-coordinate is changing 8 times as fast as the x-coordinate.

NCERT TELUGU-APPLICATION OF DERIVATIVES-EXERCISE 6.6
  1. An Apache helicopter of enemy is flying along the curve given by y = x...

    Text Solution

    |

  2. Using differentials, find the approximate value of each of the followi...

    Text Solution

    |

  3. Show that the function given by f(x) =(logx)/(x) has maximum at x = e.

    Text Solution

    |

  4. The two equal sides of an isoceles triangle with fixed base b are decr...

    Text Solution

    |

  5. The equation of the normal to the curve x^(2)=4y at (1,2) is

    Text Solution

    |

  6. Show that the normal at any point theta to the curve x = a cos theta +...

    Text Solution

    |

  7. Find the intervals in which the function f given by f(x) = (4sin x-2...

    Text Solution

    |

  8. Find the intervals in which the function f given by f(x) =x^(3) +(1)/(...

    Text Solution

    |

  9. Find the maximum area of an isosceles triangle inscribed in the ellips...

    Text Solution

    |

  10. A tank with rectangular base and rectangular side, open at the top is ...

    Text Solution

    |

  11. The sum of the perimeter of a circle and square is k, where k is some ...

    Text Solution

    |

  12. A window is in the form of a rectangle surmounted by a semi-circular o...

    Text Solution

    |

  13. Find the points at which the function f given by f (x) = (x-2)^(4)(x+1...

    Text Solution

    |

  14. Find the absolute maximum and minimum values of the function f given b...

    Text Solution

    |

  15. Let f be a function defined on [a, b] such that f'(x)>0 for all x in ...

    Text Solution

    |

  16. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  17. Show that height of the cylinder of greatest volume which can be inscr...

    Text Solution

    |

  18. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

  19. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

    Text Solution

    |

  20. The line y = mx + 1 is a tangent to the curve y^(2)= 4x if the value o...

    Text Solution

    |

  21. The normal at the point (1,1) on the curve 2y + x^(2) = 3 is

    Text Solution

    |