JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

Lines and intersect the line at and respectively. The bisector of the acute angle between and intersects at . STATEMENT-1: The ratio . STATEMENT-2: In any triangle, bisector of an angle divides the triangle into two similar triangles.

Answer: (C)

Solution

*(Figure: lines and through , horizontal line meeting them at and ; the bisector from meets at .)*

: , → . : , → . meet at .

, , and $ POQ =

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Question ID VK-110648