The locus of the point of intersection of the lines (3)kx + ky - 4 3 = 0 and 3 x - y - 4(3)k = 0 is a conic, whose eccentricity is _ _ _ _ _.

Coordinate Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Feb, Morning shift · Q31

JEE Main 202125 Feb, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

The locus of the point of intersection of the lines

\left( {\sqrt 3 } \right)kx + ky - 4\sqrt 3 = 0

and

\sqrt 3 x - y - 4\left( {\sqrt 3 } \right)k = 0

is a conic, whose eccentricity is _________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 25 Feb, Morning shift · Q31

JEE Main 202125 Feb, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

The locus of the point of intersection of the lines

\left( {\sqrt 3 } \right)kx + ky - 4\sqrt 3 = 0

and

\sqrt 3 x - y - 4\left( {\sqrt 3 } \right)k = 0

is a conic, whose eccentricity is _________.

Your answerType your answer. Integers and decimals are accepted.