Home
Class 11
MATHS
The sum of the distances of a point (2, ...

The sum of the distances of a point (2, -3) from the foci of an ellipse `16 (x - 2)^2 + 25 (y + 3)^2 =400` is :

A

8

B

6

C

50

D

32

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Find the distance of a point (6,0,0) from the plane 2x-3y+6z-2=0 .

What is the distance of the point (-1,2,1) from the plane 2x-3y+4z+5=0.

The foci of the ellipse 25(x+1)^2 + 9(y+2)^2 = 225 , are at :

The distance of the point (2,3,-5) from the plane x+2y-2z-9=0 is ..........

The distance of the plane 2x-y+2z+3=0 from the point (3,2,1) is

The distance of the plane x+2y-2z=9 from the point (2,3,-5) is

Find the distance of the point (2,3) from the line 2x-3y+9=0 measured along the line 2x-2y+5=0

Statement 1 The sum of the focal distances of a point on the ellipse 4x^(2)+5y^(2)-16x-30y+41=0 is 2sqrt5 . Statement 2 The equation 4x^(2)+5y^(2)-16x-30y+41=0 can be expressed as 4(x-2)^(2)+5(y-3)^(2)=20 .

Find the distance of the point (2,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. If two chords having lengths a^2- 1 and 3 (a + 1), where a is a consta...

    Text Solution

    |

  2. The equation of the parabola having focus (3, 2) and vertex (1, 2), is...

    Text Solution

    |

  3. The sum of the distances of a point (2, -3) from the foci of an ellips...

    Text Solution

    |

  4. The equation of one of the tangents to x^2/3-y^2/2=1 which is parallel...

    Text Solution

    |

  5. If e1 is eccentricity of the ellipse x^2/16+y^2/7=1 and e2 is eccentri...

    Text Solution

    |

  6. A line passes through point (2, 2) and perpendicular to the line 3x + ...

    Text Solution

    |

  7. If px^2-10xy + 12y^2+ 5x - 16y - 3 = 0 represents a pair of straight l...

    Text Solution

    |

  8. Points (3, 3), (h, 0), (0, k) are collinear and a/h+b/k=1/3. Then :

    Text Solution

    |

  9. sqrt 2009/3 (x^2-y^2)=1, then eccentricity of the hyperbola is :

    Text Solution

    |

  10. The value of k for which the line x+y+1=0 touches the parabola y^2 = 4...

    Text Solution

    |

  11. The eccentricity of the ellipse x^2/a^2+y^2/b^2=1, if its latus rectum...

    Text Solution

    |

  12. The angle between the tangents drawn from the origin to the parabola y...

    Text Solution

    |

  13. The angle between the lines 2x = 3y=-z and 12x=-2y=-8z is:

    Text Solution

    |

  14. The centres of 3 circles x^2+y^2 =1, x^2+y^2 +6x-2y=1, x^2+y^2-12x+4y=...

    Text Solution

    |

  15. If the lines 2x + 3y+1=0,3x-y-4=0 are diameters of a circle x^2+ y^2+ ...

    Text Solution

    |

  16. The equation of the circle, while touches the line x= y at origin and ...

    Text Solution

    |

  17. The locus of the foot of the perpendicular from the centre of the elli...

    Text Solution

    |

  18. The locus of the mid-points of a chord of the circle x^(2)+y^(2)=4 whi...

    Text Solution

    |

  19. The length of the chord joining the points (4 cos theta 4 sin theta) a...

    Text Solution

    |

  20. The number of common tangents to the circles x^2+y^2-y=0 and x^2+y^2+y...

    Text Solution

    |