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)=2l^(2)`

B

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

C

`9x^(2)+36y^(2)=4l^(2)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|102 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)|30 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE I|57 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-EXERCISE -II
  1. The variable line x//a+y//b=1 is such that a+b=10. The locus of the mi...

    Text Solution

    |

  2. A stick of length l rests againsts the floor and a wall of a room. If ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The lines 2x+3y=6, 2x+3y=8 cut the X-axis at A, B respectively. A line...

    Text Solution

    |

  6. The slope of a straight line passing through A(-2, 3) is -4//3. The po...

    Text Solution

    |

  7. The middle point of line segment joining (3,-1) and (1,1) is shifted b...

    Text Solution

    |

  8. The point p(1,1) is translated parallel to 2x=y in the first quadrant ...

    Text Solution

    |

  9. The line joining the points A(2,0) and B(3,1) is rotated through an an...

    Text Solution

    |

  10. The parametric equations of the line are give by x=-2+r/(sqrt(10)) and...

    Text Solution

    |

  11. A straight line passes through (4,5) and makes an angle 60^(@) with x-...

    Text Solution

    |

  12. If the straight line through the point P(3,4) makes an angle pi//6 wit...

    Text Solution

    |

  13. The distance of the point (2,3) from the line 2x-3y+9=0 measured along...

    Text Solution

    |

  14. A straight line L is drawn through the point A(2,1) is such that its p...

    Text Solution

    |

  15. If one vertex of an equilateral triangle of side a lies at the origin ...

    Text Solution

    |

  16. A(-1,1)B(5,3) are the opposite vertices of a square. Perpendicular dis...

    Text Solution

    |

  17. The equation of line midway between the lines 2x-y+3=0,y=2x-4 and para...

    Text Solution

    |

  18. The perpendicular distance from origin to the line passing through P(...

    Text Solution

    |

  19. The equation of the perpendicular bisector of a line segment bar(AB) i...

    Text Solution

    |

  20. The equation to the base of a equilateral triangle is x+y=2 and one ve...

    Text Solution

    |