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 solider, placed at (3, 7), wants to shoot down the helicopter when it is nearest to him. Find the nearest distance.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(5)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|24 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|83 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

Find point on y=2x-3 nearest to origin.

Find the equation of tangent to the curve given by x=a sin^(3)t, y=b cos^(3)t at a point where t=(pi)/(2) .

If the curve ay+x^(2)=7 and x^(3)=y , cuts orthogonall at (1, 1), then the value of a 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.

A parabolic mirror is silvered at inner surface. The equation of the curve formed by its intersection with X-Y plane is given by y=(x^(2))/(4) . A ray travelling in X-Y plane along line y=x+3 hits the mirror in second quandrant and gets reflected. The unit vector in the direction of reflected ray will be

Find the equation of the tangent to the curve y=(x-7)/((x-2)(x-3)) at the point where it cuts the X-axis.

A particle moves along the curve y=x^((3)/(2)) in the first quadrant in such a way that its distance from the origin increases at the rate of 11 units/sec. The value of (dx)/(dt) when x = 3 is …………

A particle moves along the curve y=(2)/(3) x^(3)+1 . Find the point on the curve at which y-coordinate is changing twice as fast as x-coordinate.

Find the distance of the line 4x+7y+5=0 from the point (1,2) along the line 2x-y=0 .

Find points at which the tangent to the curve y=x^(3)-3x^(2)-9x+7 is parallel to the x-axis.

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Find local maximum and local minimum values of the function f given by...

    Text Solution

    |

  2. Find all the points of local maxima and local minima of the function f...

    Text Solution

    |

  3. Find two positive numbers whose sum is 15 and the sum of whose squares...

    Text Solution

    |

  4. Find the shortest distance of the point (0, c) from the parabola y=x^(...

    Text Solution

    |

  5. Let AP and BQ be two vertical poles at points A and B respectively. If...

    Text Solution

    |

  6. If length of three sides of a trapezium other than base are equal to 1...

    Text Solution

    |

  7. Prove that the radius of the right circular cylinder of greatest curve...

    Text Solution

    |

  8. Find the global maximum and minimum values of the function f given by ...

    Text Solution

    |

  9. Find absolute maximum and minimum values of a function f given by f(x...

    Text Solution

    |

  10. An Apache helicopter of enemy is flying along the curve given by y=x^(...

    Text Solution

    |

  11. A car starts from a point P at time t = 0 seconds and stops at point Q...

    Text Solution

    |

  12. A water tank has the shape of an inverted right circular cone with its...

    Text Solution

    |

  13. A man of height 2 metres walks at a uniform speed of 5 km/h away from ...

    Text Solution

    |

  14. Find the equation of the normal to the curve x^(2)=4y which passes thr...

    Text Solution

    |

  15. Find the equations of the tangent to the curve y=cos(x+y) which is par...

    Text Solution

    |

  16. Find intervals in which the function given by f(x)=(3)/(10)x^(4)-(4)/(...

    Text Solution

    |

  17. Show that the function f given by f(x)=tan^(-1)(sin x + cos x), x gt 0...

    Text Solution

    |

  18. A circular disc of radius 3 cm is being heated. Due to expansion, its ...

    Text Solution

    |

  19. An open topped box is to be constructed by removing equal squares from...

    Text Solution

    |

  20. Manufacturer can sell x items at a price of rupees (5-(x)/(100)) each....

    Text Solution

    |