Let the ellipse 3x² + py² = 4 pass through the centre C of the circle x² + y² - 2x - 4y - 11 = 0 of radius r. Let f₁, f₂ be the focal distances of the point C on the ellipse. Then 6f₁f₂ - r is equal to:

Coordinate Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q210

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumCoordinate Geometry478× since 2002

Let the ellipse

3x^2 + py^2 = 4

pass through the centre C of the circle

x^2 + y^2 - 2x - 4y - 11 = 0

of radius

r

. Let

f_1, f_2

be the focal distances of the point C on the ellipse. Then

6f_1f_2 - r

is equal to: