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CAT 2025 Coordinate Geometry — Previous Year Question

Year

CAT 2025

Section

Quantitative

Topic

Coordinate Geometry

Difficulty

Medium

Question

Slot-1

A straight line L₁ has the equation y = k(x − 1), where k is some real number. The straight line L₁ intersects another straight line L₂ at the point (5, 8). If L₂ has a slope of 1, which of the following is definitely FALSE?

The distance from the origin to one of the lines is 3/√2

The distance between the x-intercepts of the two lines is 4

The distance between the y-intercepts of the two lines is 6

The line L₁ passes through the point (1, 0)

The distance from the origin to one of the lines is 2/√5

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