Home
Class 11
MATHS
If the mid-point of a chord of the ellip...

If the mid-point of a chord of the ellipse `(x^2)/(16)+(y^2)/(25)=1` (0, 3), then length of the chord is (1) `(32)/5` (2) 16 (3) `4/5` 12 (4) 32

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

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

The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^2=1

The locus of mid point of focal chords of ellipse x^2 / a^2 +y^2/b^2 =1

The mid point of the chord 4x-3y=5 of the hyperbola 2x^(2)-3y^(2)=12 is

The mid point of the chord x+2y+3=0 of the hyperbola x^(2)-y^(2)=4 is

If the lsope of the focal chord of y^(2)=16x is 2, then the length of the chord, is

Find the equation of a chord of the ellipse (x^2)/(25)+(y^2)/(16)=1 joining two points P(pi/4) and Q((5pi)/4) .

The mid-point of the chord 2x+y-4=0 of the parabola y^(2)=4x is

The length of the major axis of the ellipse ((x-3)^(2))/(16) + ((y+2)^(2))/(25) = 1 is

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

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If from a point P(0,alpha) , two normals other than the axes are drawn...

    Text Solution

    |

  2. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

    Text Solution

    |

  3. If the mid-point of a chord of the ellipse (x^2)/(16)+(y^2)/(25)=1 (0,...

    Text Solution

    |

  4. If the intercepts made by tangent, normal to a rectangular hyperbola x...

    Text Solution

    |

  5. Let the distance between a focus and the corresponding directrix of an...

    Text Solution

    |

  6. If S=0 is the equation of the hyperbola x^2+4x y+3y^2-4x+2y+1=0 , then...

    Text Solution

    |

  7. Consider an ellipse E ,(x^2)/(a^2)+(y^2)/(b^2)=1 , centered at point O...

    Text Solution

    |

  8. If two distinct tangents can be drawn from the Point (alpha,2) on diff...

    Text Solution

    |

  9. Suppose xa n dy are real numbers and that x^2+9y^2-4x+6y+4=0 . Then th...

    Text Solution

    |

  10. A hyperbola passes through (2,3) and has asymptotes 3x-4y+5=0 and 12 x...

    Text Solution

    |

  11. Rectangle ABCD has area 200.An ellipse with area 200pi passes through ...

    Text Solution

    |

  12. From any point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , tangents a...

    Text Solution

    |

  13. The locus of the image of the focus of the ellipse (x^2)/(25)+(y^2)/9=...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. A point on the ellipse x^2+3y^2=37 where the normal is parallel to the...

    Text Solution

    |

  16. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

    Text Solution

    |

  17. If a pair of variable straight lines x^2 + 4y^2+alpha xy =0 (where alp...

    Text Solution

    |

  18. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

    Text Solution

    |

  19. The equation 3x^2+4y^2-18+16 y+43=k represents an empty set, if k<0 ...

    Text Solution

    |

  20. Which of the following is/are true about the ellipse x^2+4y^2-2x-16 y+...

    Text Solution

    |