Home
Class 12
MATHS
Let AP and BQ be two vertical poles at p...

Let AP and BQ be two vertical poles at points A and B, respectively. If `A P = 16 m , B Q = 22 m a n d A B = 20 m`, then find the distance of a point R on AB from the point A such that `R P^2+R Q^2`is minimum.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.1|18 Videos
  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.2|23 Videos
  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Let AP and BQ be two vertical poles at points A and B respectively. If AP = 16 m, BQ = 22m and AB = 20 m, then find the distance of a point R on AB from the point A such that RP^(2)+RQ^(2) is minimum.

Let P and Q be points on the line joining A(-2, 5) and B(3, 1) such that AP = PQ = QB. If mid-point of PQ is (a, b), then the value of (b)/(a) is

If A = {p,q,r, s} and B = {1, 2, 3} , find which of the following is not a function from A to B?

Find the value of a and b, given that p || q and r || s.

If the distances of two points P and Q from the focus of a parabola y^2=4x are 4 and 9,respectively, then the distance of the point of intersection of tangents at P and Q from the focus is

Let P be an interior point of a triangle ABC , Let Q and R be the reflections of P in AB and AC , respectively if Q .A , R are collinear then angle A equals -

Find q and r for the following pairs of positive integers a and b, satisfying a = bq + r. a = 125 , b = 5

Let P and Q be the points on the line joining A(-2, 5) and B(3, 1) such that AP = PQ=QB . Then, the mid-point of PQ is

Let A and B be two distinct points on the parabola y^2 = 4x . If the axis of the parabola touches a circle of radius r having AB as its diameter, then the slope of the line joining A and B can be (A) - 1/r (B) 1/r (C) 2/r (D) - 2/r

Two particle A and B projected along different directions from the same point P on the ground with the same velocity of 70 m/s in the same vertical plane. They hit the ground at the same point Q such that PQ = 480,. Then [g=9.8 m//s^(2)]

NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.6
  1. Let AP and BQ be two vertical poles at points A and B, respectively. ...

    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)/xhas maximum at x = e.

    Text Solution

    |

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

    Text Solution

    |

  5. Find the equation of the normal to curve x^2=4ywhich passes through t...

    Text Solution

    |

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

    Text Solution

    |

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

    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 ellip...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. A window is in the form of a rectangle surmounted by a semicircular...

    Text Solution

    |

  13. A point on the hypotenuse of a triangle is at distance a and b from t...

    Text Solution

    |

  14. Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...

    Text Solution

    |

  15. Find the absolute maximum and minimum values of the function f give...

    Text Solution

    |

  16. Show that the altitude of the right circular cone of maximum volume...

    Text Solution

    |

  17. Let f be a function defined on [a, b] such that f^(prime)(x)>0, for al...

    Text Solution

    |

  18. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  19. Show that height of the cylinder of greatest volume which can be insc...

    Text Solution

    |

  20. A cylindrical tank of radius 10 m is being filled with wheat at the r...

    Text Solution

    |

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

    Text Solution

    |