Home
Class 11
MATHS
A man starts from the point P(-3,4) and...

A man starts from the point `P(-3,4)` and reaches the point `Q(0,1)` touching the x-axis at `R(alpha,0)` such that `P R+R Q` is minimum. Then `5|alpha| ` (A) 3 (B) 5 (C) 4 (D) 2

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

A man strats from the point P(-3,4) and reaches the point Q(0,1) touching the x-axis at R(alpha,0) such that PR+RQ is minimum. Then |alpha|= .

A man starts from the point P(-3, 4) and will reach the point Q(0, 1) touching the line 2x + y = 7 at R. The coordinates R on the line so that he will travel in the shortest distance is

Consider the points P(2,-4);Q(4,-2) and R(7,1). The points P,Q,R

Given points P(2,3), Q(4, -2), and R(alpha,0) . Find the value of a if PR + RQ is minimum.

Let P be (5,3) and a point R on y = x and Q on the X - axis be such that PQ +QR+RP is minimum ,then the coordinates of Q are

A light ray emerging from the point source placed at P(2,3) is reflected at a point Q on the y-axis. It then passes through the point R(5,10)dot The coordinates of Q are (a) (0,3) (b) (0,2) (c) (0,5) (d) none of these

If the image of point P(2, 3) in a line L is Q (4,5) then, the image of point R (0,0) in the same line is:

A light ray emerging from the point source placed at P(2,3) is reflected at a point Q on the y-axis. It then passes through the point R(5,10)dot The coordinates of Q are (a) (0,3) (b) (0,2) (0,5) (d) none of these

P is a point on the line y+2x=1, and Q and R are two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is (a) 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

Let P(2,-1,4) and Q(4,3,2) are two points and as point R on PQ is such that 3PQ=5QR , then the coordinates of R are

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The locus of the moving point whose coordinates are given by (e^t+e^(-...

    Text Solution

    |

  2. The distance between the circumcenter and the orthocentre of the trian...

    Text Solution

    |

  3. A man starts from the point P(-3,4) and reaches the point Q(0,1) tou...

    Text Solution

    |

  4. Statement 1 : The area of the triangle formed by the points A(1000 ...

    Text Solution

    |

  5. Consider three points P = (-sin (beta-alpha), -cos beta), Q = (cos(bet...

    Text Solution

    |

  6. abc

    Text Solution

    |

  7. Each equation contains statements given in two columns which have to b...

    Text Solution

    |

  8. A straight line passing through P(3,1) meets the coordinate axes at Aa...

    Text Solution

    |

  9. Let A-=(3,-4),B-=(1,2)dot Let P-=(2k-1,2k+1) be a variable point such ...

    Text Solution

    |

  10. If |{:(x1,,y1,,1),(x2,,y2,,1),(x3,,y3,,1):}|=|{:(a1,,b1,,1),(a2,,b2,,1...

    Text Solution

    |

  11. O P Q R is a square and M ,N are the middle points of the sides P Qa n...

    Text Solution

    |

  12. Which of the following sets of points form an equilateral triangle? (...

    Text Solution

    |

  13. A particle p moves from the point A(0,4) to the point 10 ,-4) . The pa...

    Text Solution

    |

  14. A B C is an isosceles triangle. If the coordinates of the base are B(1...

    Text Solution

    |

  15. If two vertices of a triangle are (1,3) and (4,-1) and the area of tri...

    Text Solution

    |

  16. Number of points with integral co-ordinates that lie inside a triangle...

    Text Solution

    |

  17. Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The ...

    Text Solution

    |

  18. The orthocentre of the triangle with vertices (0,0),(3,4), and (4,0) ...

    Text Solution

    |

  19. The area of a triangle is 5. Two of its vertices are A(2,1) and B(3...

    Text Solution

    |

  20. Statement 1 : If the vertices of a triangle are having rational coordi...

    Text Solution

    |