The locus of mid-points of the line segments joining (- 3, - 5) and the points on the ellipse (x²)/4 + (y²)/9 = 1 is:

(C) 36x² + 16y² + 108x + 80y + 145 = 0

(A) 9x² + 4y² + 18x + 8y + 145 = 0

(B) 36x² + 16y² + 90x + 56y + 145 = 0

(D) 36x² + 16y² + 72x + 32y + 145 = 0

Coordinate Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 31 Aug, Evening shift · Q3724

JEE Main 202131 Aug, Evening shiftMathematicsEasyCoordinate Geometry478× since 2002

The locus of mid-points of the line segments joining (

-

-

5) and the points on the ellipse

{{{x^2}} \over 4} + {{{y^2}} \over 9} = 1

is :

JEE Main 2021 · 31 Aug, Evening shift · Q3724

JEE Main 202131 Aug, Evening shiftMathematicsEasyCoordinate Geometry478× since 2002

The locus of mid-points of the line segments joining (

-

-

5) and the points on the ellipse

{{{x^2}} \over 4} + {{{y^2}} \over 9} = 1

is :