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JEE Main Mathematics question

MathematicsStraight LinesJEE Main

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

Answer: (C)

Solution

The lines meet at and , and the origin is the vertex; and , and the angle is acute, so is its internal bisector. By the angle-bisector theorem

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Question ID VK-024399