Home
Class 11
MATHS
The ends of a rod of length l move...

The ends of a rod of length `l` move on two mutually perpendicular lines. The locus of the point on the rod which divides it in the ratio 1 : 2 is

A

`36x^(2)+9y^(2) =41^(2)`

B

`36x^(2)+9y^(2) =1^(2)`

C

`36x^(2)+9y^(2) =41^(2)`

D

`36x^(2)+9y^(2) =1^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas) (More than one correct answer Type Question)|1 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Linked comprehension Type Question)|1 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|102 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

An iron rod of length 2l is sliding on two mutually perpendicular lines . Find the locus of the midpoint of the rod.

A straight line segment of length I moves with its ends on two mutually perpendicular lines. Then the locus of the point which divides the line segment in the ratio 1 : 2 is

A line of fixed length a + b moves so that its ends are always on two fixed perpendicular straight lines. Then the locus of a point which divides this line into portions of length a and b is

A rod AB os length 10 cms slides between two perpendicular lines OX ,OY . The maximum area of the DeltaOAB

AAKASH SERIES-STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)
  1. A stick of length I rests against the floor and a wall of a room. If t...

    Text Solution

    |

  2. The equation of the straight line passing through the point (4, 3) and...

    Text Solution

    |

  3. The ends of a rod of length l move on two mutually perpendicu...

    Text Solution

    |

  4. A line passing through (3,4) meets the axes bar(OX) and bar(OY) at A a...

    Text Solution

    |

  5. The locus of the midpoint of the portion between the axes of xcosalpha...

    Text Solution

    |

  6. A staight line through the point A(3,4) is such that its intercept bet...

    Text Solution

    |

  7. A line is drawn through the point (1,2) to meet the coordinate axes at...

    Text Solution

    |

  8. A variable line x//a+y//b = 1 moves in such a way that the harmonic me...

    Text Solution

    |

  9. Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle OPQ. The po...

    Text Solution

    |

  10. Two medians drawn from the acute acute angles of a right-angled triang...

    Text Solution

    |

  11. The equation of the diangonal OB of the rectangle given in the diagram...

    Text Solution

    |

  12. Let A be any point on the x-axis and B=(2,3). The perpendicular at A t...

    Text Solution

    |

  13. If the equation of the locus of a point equi-distant from the points (...

    Text Solution

    |

  14. The area bounded by the curve : max {absx,asbsy}=5 is

    Text Solution

    |

  15. The line x=c cuts the triangle with corners (0,0),(1,1) and (9,1) into...

    Text Solution

    |

  16. A system of lines is given as y=m1x+c1," where " m1 can take any val...

    Text Solution

    |

  17. The base of a triangle lies along the line x=a and is of length a. The...

    Text Solution

    |

  18. If x(1), x(2), x(3) as well as y(1), y(2), y(3) are in G.P with same c...

    Text Solution

    |

  19. A straight line through the point (2, 2) intersects the lines sqrt(3)x...

    Text Solution

    |

  20. AB is a variable lines sliding between the coordinate axes in such a w...

    Text Solution

    |