Home
Class 11
MATHS
A bar of given length moves with its ext...

A bar of given length moves with its extremities on two fixed straight lines at right angles. Show that any point on the bar describes an ellipse.

A

Circle

B

parabola

C

Ellipse

D

Hyperbola

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|75 Videos

  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

If a bar of givenlength moves with its extremities on two fixed straight lines at right angles,then the locus of any point on bar marked on the bar describes a/an :

A bar of length 20 units moves with its ends on two fixed straight lines at right angles.A point P marked on the bar ata distance of 8 units from one end describes a conic whose eccentricity is

A straight rod of given length slides between two fixed bars which include an ingle of 90^(@) . Show that the locus of a point on the rod which divides it in a given ratio is an ellipse.If this ratio be 1/2, show that the eccentricity of the ellipse is sqrt(2)/3

A line of fixed length a+b moves so that its ends are always on two fixed perpendicular straight lines.Then the locus of the point which divides this line into portions of length a and bis a/an ellipse (b) parabola straight line (d) none of these

A straight line has its extremities on two fixed straight lines and cuts off from them a triangle of constant area c^(2). Then the locus of the middle point of the line is 2xy=c^(2)(b)xy+c^(2)=04x^(2)y^(2)=c(d) none of these

The locus of a point which moves difference of its distance from two fixed straight which are at right angles is equal to the distance from another fixed straight line is

If one of the four angles formed by two intersecting lines is a right angle,then show that each of the four angles is a right angle.

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.

TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
  1. The line segment joining the foci of the hyperbola x^2 – y^2 +1 = 0 is...

    Text Solution

    |

  2. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

    Text Solution

    |

  3. Let the eccentricity of the hyperbola (x ^(2))/(a ^(2))- (y ^(3))/(b ^...

    Text Solution

    |

  4. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=...

    Text Solution

    |

  5. The length of the straight line x-3y=1, intercept by the hyperbola x^2...

    Text Solution

    |

  6. The locue of the mis-points of the chords of the circel x ^(2) + y ^(2...

    Text Solution

    |

  7. If x + y+ k =0 touches the circle x ^(2) + y^(2) -2x -4y + 3 =0, then ...

    Text Solution

    |

  8. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  9. From the point A(0,3) on the circle x^2 +4x + (y-3)^2 = 0 a chord AB ...

    Text Solution

    |

  10. For any a in R, then locus x ^(2) + y^(2) - 2ay + a ^(2) =0 touches ...

    Text Solution

    |

  11. The equation of a diameter of circle x ^(2) + y^(2)-6x + 2y =0, passin...

    Text Solution

    |

  12. The centres of those circles which touch the circle x^(2) + y^(2) - 8...

    Text Solution

    |

  13. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0 .The tangents...

    Text Solution

    |

  14. Let the orthocentre and centroid of a triangle be (-3,5) and B(3,3) r...

    Text Solution

    |

  15. The equation of a parabola which passes through the point of intersect...

    Text Solution

    |

  16. Let the equation of an ellipse be (x^(2))/(144) + (y^(2))/(25) = 1 ....

    Text Solution

    |

  17. The lines y = 2x + sqrt 76 and 2y + x=8 touch the ellipse (x ^(2))/(16...

    Text Solution

    |

  18. A bar of given length moves with its extremities on two fixed strai...

    Text Solution

    |

  19. The distance of the mid -point of line joining two ponts (4,0) and (0,...

    Text Solution

    |

  20. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

    Text Solution

    |