Home
Class 12
MATHS
The length of the chord of the ellipse ...

The length of the chord of the ellipse `x^2/25+y^2/16=1` where mid point is `(1/2,2/3)` (A) `1/10` (B) `sqrt(8161)/10` (C) `sqrt(8061)/10` (D) `1`

A

`1/10`

B

`sqrt8161/10`

C

`sqrt8061/10`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

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

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

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

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

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

Similar Questions

Explore conceptually related problems

The length of the chord of the ellipse (x^(2))/(25)+(y^(2))/(16)=1 ,whose mid point is (1,(2)/(5)) ,is equal to :

Find the length of the chord of the ellipse (x^(2))/(25)+(y^(2))/(16)=1, whose middle point is ((1)/(2),(2)/(5))

The equation of the chord of the ellipse 2x^(2)+3y^(2)=6 having (1,-1) as its mid point is

Equation of the chord of the circle x^(2) + y^(2) - 4x = 0 whose mid-point is (1,0) , is

If the midpoint of the chord of the ellipse (x^(2))/(16)+(y^(2))/(25)=1 is (0,3)

The mid point of the chord 16x+9y=25 to the ellipse (x^(2))/(9)+(y^(2))/(16)=1 is

The length of the chord of the parabola y^(2)=x which is bisected at the point (2,1) is (a) 2sqrt(3)( b) 4sqrt(3)(c)3sqrt(2) (d) 2sqrt(5)

The length of the common chord of the ellipse ((x-1)^(2))/(9)+((y-2)^(2))/(4)=1 and the circle (x-1)^(2)+(y-2)^(2)=1 is (A)2(B)sqrt(3)(C)4 (D) none of these

Chord of the ellipse x^2/25+y^2/16=1 whose middle point is (1/2, 2/5) meets the minor axis at A and major axis at B, length of AB (in units) is :

ARIHANT MATHS-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 ellipes x^2/25+y^2/16=1 at any points meet the line x...

    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. The point on the ellipse x^2 + 2y^2 = 6 closest to the line x + y = 7 ...

    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. The length of the chord of the ellipse x^2/25+y^2/16=1 where mid poi...

    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

    |