Coordinate Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 24 Jan, Evening shift · Q4756

JEE Main 202324 Jan, Evening shiftMathematicsHardCoordinate Geometry478× since 2002

The equations of the sides AB and AC of a triangle ABC are

(\lambda+1)x+\lambda y=4

and

\lambda x+(1-\lambda)y+\lambda=0

respectively. Its vertex A is on the y-axis and its orthocentre is (1, 2). The length of the tangent from the point C to the part of the parabola

y^2=6x

in the first quadrant is :

JEE Main 2023 · 24 Jan, Evening shift · Q4756

JEE Main 202324 Jan, Evening shiftMathematicsHardCoordinate Geometry478× since 2002

The equations of the sides AB and AC of a triangle ABC are

(\lambda+1)x+\lambda y=4

and

\lambda x+(1-\lambda)y+\lambda=0

respectively. Its vertex A is on the y-axis and its orthocentre is (1, 2). The length of the tangent from the point C to the part of the parabola

y^2=6x

in the first quadrant is :

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