Home
Class 12
MATHS
An ellipse slides between two perpendicu...

An ellipse slides between two perpendicular straight lines. Then identify the locus of its center.

A

parabola

B

ellipse

C

hyperbola

D

circle

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|15 Videos
  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|14 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

An ellipse of semi-axes a, b slides between two perpendiuclar lines. Prove that the locus of its foci is (x^2 + y^2) (x^2 y^2 + b^4) = 4a^2 x^2 y^2 , the two lines being taken as the axes of coordinates.

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 aa n db is (a) an ellipse (b) parabola (c) straight line (d) none of these

A line of length a+b moves in such a way that its ends are always on two fixed perpendicular straight lines. Then the locus of point on this line which devides it into two portions of length a and b ,is :

If the extremities of a line segment of length l moves in two fixed perpendicular straight lines, then the locus of the point which divides this line segment in the ratio 1 : 2 is-

A rod of length / slides with its ends on two perpendicular lines. Find the locus of its mid-point.

A rod of length l slides with its ends on two perpendicular lines. Find the locus of its midpoint.

A rod of length l slides with its ends on two perpendicular lines. Find the locus of its midpoint.

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

Two masses nm and m , start simultaneously from the intersection of two straight lines with velocities v and nv respectively. It is observed that the path of their centre of mass is a straight line bisecting the angle between the given straight lines. Find the magnitude of the velocity of centre of mass. [Here theta= angle between the lines]

A circle cuts two perpendicular lines so that each intercept is of given length. The locus of the centre of the circle is conic whose eccentricity is

ARIHANT MATHS ENGLISH-ELLIPSE-Exercise (Single Option Correct Type Questions)
  1. If the line x+2y+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  2. An arc of a bridge is semi-elliptical with the major axis horizonta...

    Text Solution

    |

  3. A tangent to the ellipse (x^2)/(25)+(y^2)/(16)=1 at any point P meets ...

    Text Solution

    |

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

    Text Solution

    |

  5. the equation of the chord of contact of the pair of tangents drawn to ...

    Text Solution

    |

  6. x-2y+4=0 is a common tangent to y^2=4x and x^4/4+y^2/b^2=1. Then the v...

    Text Solution

    |

  7. Find a point on the curve x^(2)+2y^(2)=6 whose distance from the line ...

    Text Solution

    |

  8. From a point on the axis of x common tangents are drawn to the parabol...

    Text Solution

    |

  9. If circumcentre of an equilateral triangle inscribed in x^(2)/a^(2) + ...

    Text Solution

    |

  10. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

    Text Solution

    |

  11. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 fr...

    Text Solution

    |

  12. The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=...

    Text Solution

    |

  13. The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axi...

    Text Solution

    |

  14. A circle has the same center as an ellipse and passes through the foci...

    Text Solution

    |

  15. The area of the rectangle formed by the perpendiculars from the centre...

    Text Solution

    |

  16. An ellipse is inscribed in a circle and a point within the circle is c...

    Text Solution

    |

  17. An ellipse slides between two perpendicular straight lines. Then id...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. The equation of the locus of the middle point of the portion of the ta...

    Text Solution

    |

  20. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

    Text Solution

    |