Home
Class 12
MATHS
If the line 2x + 5y = 12 intersects the ...

If the line 2x + 5y = 12 intersects the ellipse `4x^(2)+5y^(2)=20` in two distinct points A and B, then the midpoint of AB is

A

(0, 10)

B

(1, 2)

C

(1, 0)

D

(2, 1)

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|2 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|1 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|140 Videos

  • EAMCET - 2016 TS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Questions|80 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

Similar Questions

Explore conceptually related problems

If the line 2x + 5y = 12 intersects the ellipse 4x^(2)+5y^(2) = 20 in two distinct points A and B, then the mid point of AB is

The line y=mx+c intersects the circle x^(2)+y^(2)=r^(2) in two distinct points if

The line x= t^(2) meet the ellipse x^(2) +(y^(2))/( 9) =1 in the real and distinct points if and only if

The pole of the line 2x-y+2=0 w.r.t the ellipse 3x^(2)+5y^(2)=15 is

The mid point of the chord 2x+5y=12 of the ellipse 4x^(2) + 5y^(2) = 20 is

If the ellipse (x^(2))/( 4) + y^(2) =1 meets the ellipse x^(2) +(y^(2))/( a^(2)) =1 in four distinct points and a= b ^(2) - 5b+ 7, then b does not lie in

The circles x^(2)+y^(2)=4x+8y+5 intersects the line 3x-4y = m at two distinct points of

DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1B
  1. The pole of the line y = x + 2 with respect to the ellipse x2+2y2−4x+...

    Text Solution

    |

  2. The value of k if (1, 2), (k, -1) are conjugate points with respect to...

    Text Solution

    |

  3. If 2x-y+3=0, 4x+ky+3=0 are conjugate with respect to the ellipse 5x^(2...

    Text Solution

    |

  4. The locus of poles with respect to the hyperbola x^(2)//a^(2) -y^(2)...

    Text Solution

    |

  5. Show that the locus of middle points of a focal chord of an ellipe (x^...

    Text Solution

    |

  6. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

    Text Solution

    |

  7. If the chords of contact of tangents from two points (x(1),y(1)) and (...

    Text Solution

    |

  8. The equation of the chord of the ellipse 2x^(2)+3y^(2)=6 having (1, -1...

    Text Solution

    |

  9. The midpoint of a chord of the ellipse x^(2)+4y^(2)-2x+20y=0 is (2, -4...

    Text Solution

    |

  10. The midpoint of the chord 4x+5y-13=0 of the ellipse 2x^(2)+5y^(2)=20 i...

    Text Solution

    |

  11. If the line 2x + 5y = 12 intersects the ellipse 4x^(2)+5y^(2)=20 in tw...

    Text Solution

    |

  12. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

    Text Solution

    |

  13. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

    Text Solution

    |

  14. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

    Text Solution

    |

  15. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |

  16. The equation of the locus of the middle point of the portion of a tang...

    Text Solution

    |

  17. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

    Text Solution

    |

  18. A variable line drawn throgh the point of intersection of the lines x/...

    Text Solution

    |

  19. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

    Text Solution

    |

  20. The equation of the locus of the middle point of the portion of a tang...

    Text Solution

    |