Home
Class 11
MATHS
Find the length of the chord of the elli...

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

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

Find the equation of the chord of the circle x^2+y^2=9 whose middle point is (1,-2)

Find the equation of the chord of the circle x^2 + y^2 + 6x+8y+9=0 , whose middle point is (-2, -3) .

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

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 equation of the chord of the ellipse x^(2) + 4y^(2) = 4 having the middle point at (-2, (1)/(2)) is

Find the length of latus rectum of the ellipse (x^(2))/(25) + (y^(2))/(36) = 1 .

The equation of the chord of the ellipse 2x^2+ 5y^2 =20 which is bisected at the point (2, 1) is

The equation of the chord of the ellipse 2x^2+ 5y^2 =20 which is bisected at the point (2, 1) is

Find the length of the chord cut-off by y=2x+1 from the circle x^2+y^2=2

The equation of that chord of hyperbola 25x^(2)-16y = 400 , whose mid point is (5,3) is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the locus of the point which is such that the chord of contact...

    Text Solution

    |

  2. A point P moves such that the chord of contact of the pair of tangents...

    Text Solution

    |

  3. Find the length of the chord of the ellipse x^2/25+y^2/16=1, whose mid...

    Text Solution

    |

  4. Find the equation of the chord of the hyperbola 25 x^2-16 y^2=400 whic...

    Text Solution

    |

  5. The locus of the point which divides the double ordinates of the ell...

    Text Solution

    |

  6. Find the locus of the middle points of chord of an ellipse x^2/a^2 + ...

    Text Solution

    |

  7. Find the point on the hyperbola x^2-9y^2=9 where the line 5x+12 y=9 to...

    Text Solution

    |

  8. If (5, 12) and (24, 7) are the foci of an ellipse passing through t...

    Text Solution

    |

  9. From any point P lying in the first quadrant on the ellipse (x^2)/(25)...

    Text Solution

    |

  10. If any line perpendicular to the transverse axis cuts the hyperbola (x...

    Text Solution

    |

  11. If the focal distance of an end of the minor axis of an ellipse (ref...

    Text Solution

    |

  12. Tangents are drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), ...

    Text Solution

    |

  13. A normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the ...

    Text Solution

    |

  14. Find the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ...

    Text Solution

    |

  15. The slopes of the common tangents of the ellipse (x^2)/4+(y^2)/1=1 and...

    Text Solution

    |

  16. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

    Text Solution

    |

  17. The coordinates of the vertices Ba n dC of a triangle A B C are (2,...

    Text Solution

    |

  18. If the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 make angles a...

    Text Solution

    |

  19. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

    Text Solution

    |

  20. Find the condition on a and b for which two distinct chords of the hyp...

    Text Solution

    |