JEE Advanced Mathematics question

Not in JEE syllabus

The equation of the incircle of the triangle formed by the axes and the line is

Answer: (B)

Solution

The vertices are , and . The triangle lies in the first quadrant and touches both axes, so the incentre is . Its distance from equals :

= r \ ⇒\ 7r - 6 = ± 5r \ ⇒\ r = 3 or r = 12.

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Question ID VK-108902