Home
Class 11
MATHS
A straight line L with negative slope pa...

A straight line L with negative slope passes through the point (8,2) and cuts the positive coordinate axes at points P and Q. As L varies, the absolute minimum value of OP+OQ is (O is origin)

A

10

B

18

C

16

D

12

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

Similar Questions

Explore conceptually related problems

A straight line L with nagative slope passes through the point (9,4) and cuts the positive coordinate axes at the points P and Q respectively . Minimum value of OP+OQ , as L varies (where O is the origin ), is-

A straight line passing through the point (a,b) [where agt0and bgt0 ] intersects positive coordnate axes at the points p and Q respectively . Show that the minimum value of (OP+OQ) is (sqrta+sqrtb)^(2) .

Let (h,k) be a fixed point where hgt0,kgt0 . A straight line passing through this point cuts the positive directions of the coordinate axes at the points P and Q . Find the minimum area of the triangle OPQ , O being the origin.

Let (h , k) be a fixed point, where h >0,k > 0. A straight line passing through this point cuts the positive direction of the coordinate axes at the point Pa n dQ . Find the minimum area of triangle O P Q ,O being the origin.

A straight line has slope (3)/(4) and it passes through the point A(-2,-5) . Find the coordinates of a point B on this line where overline(AB) =10 unit.

Find equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9.

Find equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9.

A straigh line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10. Find the equation of the straight line.

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. For points P=(x1,y1)and Q =(x2,y2) of the co-ordinate plane a new dist...

    Text Solution

    |

  2. The orthocentre of the triangle formed by the lines x+y=1,2x+3y=6and 4...

    Text Solution

    |

  3. A straight line L with negative slope passes through the point (8,2) a...

    Text Solution

    |

  4. The distance between the circumcentre and orthocentre of the triangle ...

    Text Solution

    |

  5. If P(1+alpha/sqrt2 ,2+ alpha/sqrt2) be any point on a line, then the r...

    Text Solution

    |

  6. If the point (a,a) fall between the lines |x+y|=2,then

    Text Solution

    |

  7. Two fixed point A and B are taken on the cordinate axes such that OA =...

    Text Solution

    |

  8. A variable line through the point of intersection of the lines x/a+y/b...

    Text Solution

    |

  9. The equations of the line passing through the point of intersection o...

    Text Solution

    |

  10. A ray of light travelling along the line 2x-3y+5=0 ,after striking a p...

    Text Solution

    |

  11. Line L has intercepts a and b on the coordinate axes. When the axes ar...

    Text Solution

    |

  12. Consider the point A(3,4) and B(7,13).If P be a point on the line y=x,...

    Text Solution

    |

  13. Consider the point A(3,4) and B(7,13).If P be a point on the line y=x,...

    Text Solution

    |

  14. The number of integral values of 'm' for which the x coordinate of the...

    Text Solution

    |

  15. The diagonals of the parallelogram whose sides are lx+my+n=0,lx+my+n'=...

    Text Solution

    |

  16. Let PQR be a right angled isosceles triangle, right angled at P(2,1). ...

    Text Solution

    |

  17. The equation of straight line passing through the origin and making an...

    Text Solution

    |

  18. If pairs of straight lines x^2-2pxy-y^2=0and x^2-2qxy-y^2=0 be such th...

    Text Solution

    |

  19. If the equation ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of paral...

    Text Solution

    |

  20. If the angle between the lines represented by 2x^2+5xy+3y^2+7x+13y-3=0...

    Text Solution

    |