Home
Class 12
MATHS
Find the eccentricity of locus of midpoi...

Find the eccentricity of locus of midpoint of line segments joining (4,3) to each point on ellipse `x^2/4+y^2/2=1`

A

`sqrt3/2`

B

`1/2`

C

`1/sqrt3`

D

`1/sqrt2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

The locus of mid-points of the segments joining (-3, -5) and the points on the ellipse (x^(2))/(4) + (y^(2))/(9) = 1 is :

Find the coordinates of the midpoint of the line segment joining the points (-3,4) and (1, -2) .

Find the co-ordinates of the midpoint of the segment joining the points (-4,7) and (2,3)

What is the midpoint of the line segment joining (-2,-1) and (-5,-3)?

The midpoint of the line segment joining the points (-4, 3) and (8, -5) is :

Find the midpoint of the line segment joining the points (-3,4) and (1, - 2).

Find the midpoint of the line segment joining the points (2, -5) and (-2, 9) .

Find the midpoint of the line segment joined the two points (2,3) and (4,1).

Find the Locus of the midpoints of the segments which are tangents to the ellipse (x^(2))/(2)+(y^(2))/(1)=1 and which are intercepted between the coordinate axis

Find the eccentricity coordinates of foci length of the latus rectum of the following ellipse: 4x^(2)+3y^(2)=1

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. The mean of 50 observation is 15 and the standard deviation is 2.Howev...

    Text Solution

    |

  2. A digit number is randomly formed, find the probability that its commo...

    Text Solution

    |

  3. Find the eccentricity of locus of midpoint of line segments joining (4...

    Text Solution

    |

  4. Let a1 , a2, a3 . . . are in GP such that a2+a4=2a3+1 , a2+a3=2a4 then...

    Text Solution

    |

  5. If slope of common tangent of circle x^2+y^2=12 and ellipse x^2/9+y^2/...

    Text Solution

    |

  6. The number of three-digit number n such that greatest common divisor (...

    Text Solution

    |

  7. If the probability that 6 digit number formed using 8 and 1 which is d...

    Text Solution

    |

  8. int-2^2 abs(x^3+x)/(1+e^(xabsx))dx

    Text Solution

    |

  9. The value of cos ((2pi)/7)cos ((4pi)/7)cos ((6pi)/7)

    Text Solution

    |

  10. Find the number of real roots of the equation x^4-4x+1=0

    Text Solution

    |

  11. In a binomial distribution , n=7 and P(X=3)=5P(X=4) then find the sum ...

    Text Solution

    |

  12. 1/5+2/65+3/325+4/1025+ . . . is of the form m/n where m & n are copri...

    Text Solution

    |

  13. f(x)=(2e^(2x))/(e^(2x)+e) then f(1/100)+f(2/100)+. . .+f(99/100)=?

    Text Solution

    |

  14. The lengths of sides of a triangle are 10+x^2 , 10+x^2 and 20-2x^2 . I...

    Text Solution

    |

  15. Find the value of sin^-1(sin ((2pi)/3))+cos^-1(cos((7pi)/6))+tan^-1(ta...

    Text Solution

    |

  16. The area of the polygon , whose vertices are non-real roots of the equ...

    Text Solution

    |

  17. X=sum(n=0)^oo a^n ,Y=sum(n=0)^oo b^n and Z=sum(n=0)^oo c^n where a,b,c...

    Text Solution

    |

  18. If x1 , x2 , x3 , x4 , x5 are numbers from 1 to 18 such that x1 lt x2 ...

    Text Solution

    |

  19. If lim(x to 7) (18-[1-x])/[[x-3a]] exists, where [.] represents greate...

    Text Solution

    |

  20. If a differential equation , dy/dx+(2^(x-y)(2^y-1))/(2^x-1)=0 & y(1)=1...

    Text Solution

    |