Home
Class 11
MATHS
A straight line moves so that the sum of...

A straight line moves so that the sum of the reciprocals of its intercepts on two perpendicular lines is constant then the line passes through-

A

(k,k)

B

`((1)/(k),(1)/(k))`

C

(k,-k)

D

(-k,-k)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MUTIPLE CHOICE QUESTIONS|78 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|139 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos

Similar Questions

Explore conceptually related problems

Astraight line moves so that the sum of the reciprocals of its intercepts made on axes is constant. Show that the line passes through a fixed point.

A variable plane moves so that the sum of the reciprocals of its intercepts on the coordinate axes is (1//2) . Then, the plane passes through the point

A variable plane moves in such a way that the sum of the reciprocals of its intercepts on the three coordinate axes is constant.Show that the plane passes through a fixed point.

If the sum of the reciprocals of the intercepts made by a line on the coordinate axes is 7 ,then the line always passes through

A straight line passes through the fixed point (2,2) .The sum of the reciprocals of it's intercepts on the coordinate axes is

A point moves so that the sum of the squares of its distances from two intersecting straight lines is constant.Prove that its locus is an ellipse.

A straight line moves so that the product of the length of the perpendiculars on it from two fixed points is constant.Prove that the locus of the feet of the perpendiculars from each of these points upon the straight line is a unique circle.

MARVEL PUBLICATION-STRAIGHT LINE-MISCELLANEOUS MCQS
  1. The equation of the line passing through (1,-2) and parallel to the li...

    Text Solution

    |

  2. The equation of the line passing through (2,-4) and perpendicular form...

    Text Solution

    |

  3. · The co-ordinates of foot of the perpendicular from the point (2, 4) ...

    Text Solution

    |

  4. Find the coordinates of the foot of the perpendicular drawn from the p...

    Text Solution

    |

  5. The value of k such that the lines 2x-3y+k=0,3x-4y-13=0 and 8x-11y-33=...

    Text Solution

    |

  6. A line passes through the point (2,2) and is perpendicular to the lin...

    Text Solution

    |

  7. A square is constructed on the portion of x + y = 5, which is interce...

    Text Solution

    |

  8. The equation of the line with gradient -3/2 which is concurrent with t...

    Text Solution

    |

  9. The equations ax+by+c=0 and dx+ey+f=0 represent the same straight lin...

    Text Solution

    |

  10. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...

    Text Solution

    |

  11. If the lines ax+12y+1=0 bx+13y+1=0 and cx+14y+1=0 are concurrent then ...

    Text Solution

    |

  12. If (-4,5) is a vertex of a square and one of its diagonal is 7x-y+8-0....

    Text Solution

    |

  13. The new co-ordinates of the point (4,5) when the origin is shified to ...

    Text Solution

    |

  14. A straight line moves so that the sum of the reciprocals of its interc...

    Text Solution

    |

  15. the lines (p+2q)x+(p-3q)y=p-q for different values of p&q passes troug...

    Text Solution

    |

  16. Show that the straight line x(a+2b)+y(a+3b)=(a+b) for different values...

    Text Solution

    |

  17. The diagonals of a parallelogram ABCD are along are the lines x+3y=4 a...

    Text Solution

    |

  18. If a+b+c=0 then the line 3ax+by+2c=0 passes through the fixed point

    Text Solution

    |

  19. Equation of a straight line passing through the point of intersection ...

    Text Solution

    |

  20. The lines x cos alpha + y sin alpha = P1 and x cos beta + y sin beta =...

    Text Solution

    |