Coordinate Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q57

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

Let the equation

x(x+2)(12-k)=2

have equal roots. Then the distance of the point

(k,\tfrac{k}{2})

from the line

3x+4y+5=0

is:

JEE Main 2025 · April, Unspecified (session-level dataset) · Q57

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

Let the equation

x(x+2)(12-k)=2

have equal roots. Then the distance of the point

(k,\tfrac{k}{2})

from the line

3x+4y+5=0

is:

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