Home
Class 12
MATHS
A line of fixed length a + b moves so th...

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

an ellipse

B

a parabola

C

a straight line

D

a hyperbola

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-I|52 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

A line of fixed length (a + b) moves so that its ends are always on two fixed perpendicular straight lines. Prove that a marked point on the line which divides this line into portions of length 'a' and 'b' describes an ellipse and also find the eccentricity of the ellipse when a = 8, b=12 .

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

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

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

AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. If the chord joining two points whose eccentric angles are alpha and ...

    Text Solution

    |

  2. If tan theta(1) tan theta(2) =-(a^(2))/(b^(2)) then the chord join...

    Text Solution

    |

  3. The tangent at 'p' on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cu...

    Text Solution

    |

  4. P(theta) and D(theta+(pi)/(2)) are the points on the ellipse with c...

    Text Solution

    |

  5. The area of the parallelogram formed by the tangents at the points who...

    Text Solution

    |

  6. The area of the parallelogram formed by the tangents at the points who...

    Text Solution

    |

  7. If PSQ is a focal chord then match the ellipse with the value of (1)/...

    Text Solution

    |

  8. A man running round a race course note that the sum of the distances o...

    Text Solution

    |

  9. The locus of point of intersection of lines (xt)/(a)-(y)/(b)+t=0 and (...

    Text Solution

    |

  10. A line of fixed length a + b moves so that its ends are always on two ...

    Text Solution

    |

  11. Tangents to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 make angles theta(...

    Text Solution

    |

  12. Locus of the point of intersection of the tangents at the points with ...

    Text Solution

    |

  13. The locus of the mid point of the portion of a tangent to the ellipse...

    Text Solution

    |

  14. The locus of mid points of the chords of the ellipse (x^(2))/(a^(2))+...

    Text Solution

    |

  15. If S and S'' are the foci of the ellipse (x^(2))/(25) + (y^(2))/(16) =...

    Text Solution

    |

  16. The maximum number of normals that can be drawn from any point to an e...

    Text Solution

    |

  17. The curve represented by x=2 (cos t +sin t ) , y=5 (cos t -sin t ) is

    Text Solution

    |

  18. The sides of the rectangle of greatest area that can be inscribed in t...

    Text Solution

    |

  19. If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to t...

    Text Solution

    |

  20. An ellipse passing through (4sqrt2, 2 sqrt 6) foci at (-4,0) and (4,0)...

    Text Solution

    |