Home
Class 12
MATHS
A rod of length 12 cm moves with its end...

A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the xaxis.

A

`2/3`

B

`sqrt2/3`

C

`(2sqrt2)/3`

D

`(2sqrt3)/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 2 Single Correct Answer)|10 Videos
  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Numerical Answer)|15 Videos
  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Single Correct Answer)|15 Videos
  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos
  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 Videos

Similar Questions

Explore conceptually related problems

A rod of length 12cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod,which is 3cm from the end in contact with the xaxis.

A rod of length 12cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod,which is 3cm from the end in contact with the x-axis.

A rod of length l cm moves with its ends A (on x=-axis) and B (on y-axis) always touching the coordinae axes. Prove that the point P on the rod which divides AB in the ratio lambda(ne1) is ellipse. Alos, find the eccentricity of the ellipse.

A straight rod of length 3l units slides with its ends A,B always on the x and y axes respectively,then the locus of the centriod of Delta OAB is

A rod of length k slides in a vertical plane,its ends touching the coordinate axes.Prove that the locus of the foot of the perpendicular from the origin to the rod is (x^(2)+y^(2))^(3)=k^(2)x^(2)y^(2)

The ends of a rod of length l move on the co- ordinate axes.The lecus of the point on the rod which divides it in the ratio 1:2 is

A rod PQ of length 2a slides with its ends on the axes.The locus of the circumcentre of /_OPQ is

A rod AB of length 4 units moves horizontally with its left end A always on the cirele x^(2)+y^(2)-4x-18y-29=0 then the locus of the other end B is

MCGROW HILL PUBLICATION-ELLIPSE-Solved Examples (Level 1 Single Correct Answer)
  1. In a model, it is shown that an arc of a bridge in semi-elliptical wit...

    Text Solution

    |

  2. Find the locus of the foot of the perpendicular drawn from the cent...

    Text Solution

    |

  3. Theorem:-The sum of the focal diatances of any point on an ellipse is ...

    Text Solution

    |

  4. The line passing through the extremity A of major axis and extremity B...

    Text Solution

    |

  5. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  6. A parabola has its latus rectum along PQ, where P(x1, y1) and Q(x2, y2...

    Text Solution

    |

  7. Tangents are drawn from the point P(3,4) to the ellipse (x^2)/(9)+(y^2...

    Text Solution

    |

  8. Equation of the ellipse whose axes are the axes of coordinates and ...

    Text Solution

    |

  9. An ellipse is drawn by taking a diameter of the circle (x – 1)^2 + y^2...

    Text Solution

    |

  10. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  11. A rod of length 12 cm moves with its ends always touching the coord...

    Text Solution

    |

  12. Find the eccentricity of an ellipse whose latus rectum in one half of ...

    Text Solution

    |

  13. If the equation 5[(x - 2)^2+(y-3)^2]=(lambda^2-2lambda+1)(2x+y-1)^2 re...

    Text Solution

    |

  14. If the line l x+m y+n=0 cuts the ellipse ((x^2)/(a^2))+((y^2)/(b^2)...

    Text Solution

    |

  15. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  16. The locus of the foot of perpendicular drawn from the centre of the...

    Text Solution

    |

  17. The area (in sq. units) of the quadrilateral formed by the tangents...

    Text Solution

    |

  18. If the distance between the foci of an ellipse is half the length of i...

    Text Solution

    |

  19. The tangent to the ellipse 3x^2+16y^2=12, at the point (1,3/4) interse...

    Text Solution

    |

  20. The line 2x + y = 3 intersects the ellipse 4x^2 +y^2 =5 at two points....

    Text Solution

    |