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` ,whose mid point is `(1,(2)/(5))` ,is equal to :

A

`(sqrt(2009))/(5)`

B

`(sqrt(1691))/(5)`

C

`(sqrt(1741))/(5)`

D

`(sqrt(1541))/(5)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos
  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

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 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

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

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

The length of the latusrectum of the ellipse 16x^(2)+25y^(2)=400 is

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

Find the length of the chord x-2y-2=0 of the ellipse 4x^(2)+16y^(2)=64

Knowledge Check

  • Find the length of the major axis of the ellipse (x^2)/( 25) + (y^2)/( 16) =1 .

    A
    10
    B
    8
    C
    9
    D
    20
  • The mid point of the chord 16x+9y=25 to the ellipse (x^(2))/(9)+(y^(2))/(16)=1 is

    A
    (1,-1)
    B
    (-1,1)
    C
    (-1,1)
    D
    (1,1)
  • The length of the latusrectum of the ellipse 16x^(2)+25y^(2)=400 is

    A
    5/16 units
    B
    32/5 units
    C
    16/5 units
    D
    5/32 units
  • JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
    1. The length of the chord of the ellipse (x^(2))/(25)+(y^(2))/(16)=1 ,wh...

      Text Solution

      |

    2. If (a,b) be the orthocentre of the triangle whose vertices are (1,2),(...

      Text Solution

      |

    3. If the shortest distance of the parabola y^(2)=4x from the centre of t...

      Text Solution

      |

    4. If the shortest distance between the lines (x-4)/(1)=(y+1)/(2)=(z)/(-3...

      Text Solution

      |

    5. S={z in C::|z-i|=|z+i|=|z-1|} ,then,"n(S)" is :

      Text Solution

      |

    6. Let a(1),a(2),...a(10) be "10" observations such that sum(k=1)^(10)a(k...

      Text Solution

      |

    7. A denotes the sum of all the coefficients in the expansion of (1-3x+10...

      Text Solution

      |

    8. "^(n-1)Cr=(k^2-8)^(n)C(r+1) then k is

      Text Solution

      |

    9. The function f:N-{1}rarr N , defined by f(n)= the highest prime factor...

      Text Solution

      |

    10. If int(0)^(1)(1)/(sqrt(3+x)+sqrt(1+x))dx=a+b sqrt(2)+c sqrt(3) ,where ...

      Text Solution

      |

    11. Let x=x(t) and y=y(t) be solutions of the differential equations (dx)/...

      Text Solution

      |

    12. Let vec a= hat i+2 hat j+hat k,vec b=3(hat i-hat j+hat k) .Let vec c b...

      Text Solution

      |

    13. Let S={1,2,3,...,10} .Suppose "M" is the set of all the subsets of "S"...

      Text Solution

      |

    14. The portion of the line 4x+5y=20 in the first quadrant is trisected by...

      Text Solution

      |

    15. Consider the matrix f(x)=[[cos x,-sin x,0],[sin x,cos x,0],[0,0,1]] Gi...

      Text Solution

      |

    16. The distance,of the point (7,-2,11) from the line (x-6)/(1)=(y-4)/(0)=...

      Text Solution

      |

    17. If a=lim(x rarr0)(sqrt(1+sqrt(1+x^(4)))-sqrt(2))/(x^(4)) and b=lim(x r...

      Text Solution

      |

    18. Consider the function. f(x)={((a(7x-12-x^(2)))/(babs(x^(2)-7x+12)),x l...

      Text Solution

      |

    19. Four points on a circle are (0,1), (1,0), (0,0), (2k, 3k) find k:

      Text Solution

      |

    20. The number of common terms in the progressions 4,9,14,19,...... ,up to...

      Text Solution

      |