Home
Class 12
MATHS
Let A P and B Q be two vertical poles ...

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

Text Solution

Verified by Experts

10
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|51 Videos

  • FUNCTION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|115 Videos

Similar Questions

Explore conceptually related problems

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.

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

P and Q are points on sides A B and A C respectively of A B C . If A P=3c m , P B=6c m , A Q=5c m and Q C=10 c m , show that B C=3\ P Q .

In A B C , P and Q are points on sides A B and A C respectively such that P Q B C . If A P=4c m ,\ \ P B=6c m and P Q=3c m , determine B C .

In a triangle, P ,\ Q\ a n d\ R are the mid-points of sides B C ,\ C A\ a n d\ A B respectively. If A C=21\ c m ,\ B C=29 c m\ a n d\ A B=30 c m , find the perimeter of the quadrilateral A R P Q

In a A B C , P and Q are point on the sides A B and A C respectively, such that P Q B C . If A P=2. 4 c m , A Q=2c m , Q C=3c m and B C=6c m , find A B and P Q .

In P Q R , M and N are points on sides P Q and P R respectively such that P M=15 c m and N R=8c m . If P Q=25 c m and P R=20 c m state whether M N Q R .

In A B C , points P and Q are on C A and C B , respectively such that C A=16 c m , C P=10 c m , C B=30 c m and C Q=25 c m . Is P Q ||A B ?

A, B and C are the points (a, p), (b,q) and (c,r) respectively such that a, b and c are in AP and p,q and r in GP. If the points are collinear, then

MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. Show that the triangle of maximum area that can be inscribed in a g...

    Text Solution

    |

  2. Consider an ellipse x^(2)/a^(2) + y^(2)/b^(2)=1 What is the area of ...

    Text Solution

    |

  3. Let A P and B Q be two vertical poles at points A and B respectivel...

    Text Solution

    |

  4. If the length of three sides of a trapezium other than base are equ...

    Text Solution

    |

  5. Show if f(x)=|x| is differentiable for all x.

    Text Solution

    |

  6. If f(x) and g(x) are differentiable for all, x then d/dx(f(g(x)))=f'(...

    Text Solution

    |

  7. If f is differentiable, then d/dxf(sqrtx)=(f'(sqrtx))/(2sqrtx).

    Text Solution

    |

  8. Derive d/dx(tanx)=sec^2 x

    Text Solution

    |

  9. If f(x)=(1+x)(1+x^2)(1+x^3)(1+x^4), then f'(0)=1

    Text Solution

    |

  10. If f(x)=7x-8, then f'(3)=

    Text Solution

    |

  11. Show that the equation of the tangent line to the parabola y=x^2 at (-...

    Text Solution

    |

  12. Write True/False: If for any function y=f(x), f'( c )=0, then the ta...

    Text Solution

    |

  13. If f'(x)=1/(3-x)^2, the equation of the tangent line to f(x) at (0, 1/...

    Text Solution

    |

  14. Write True/False: All critical points of f(x) satisfy f'(x)=0

    Text Solution

    |

  15. Write True/False: If f'( c ) does not exist and f'(x) changes from po...

    Text Solution

    |

  16. Write True/False: If f'( c ) exists and f'( c )gt0, then f(x) has a l...

    Text Solution

    |

  17. Write True/False: If f(x) has an absolute maximum at x=c, then f'( c ...

    Text Solution

    |

  18. Write True/False: If f'( c )=0 then f(x) has a local maximum or a loc...

    Text Solution

    |

  19. Let y=f(x) and z=g(x) be two curves. Then the tangents drawn to curves...

    Text Solution

    |

  20. Given, f(x)=x^3-5x+2. Then f'(2) equals

    Text Solution

    |