JEE Main 2011 Mathematics question
The lines and intersect the line at P and Q respectively. The bisector of the acute angle between and intersect at R. This question has Statement −1 and Statement −2. Of the four choices given after the statements, choose the one that best describes the two statements. Statement-1 : The ratio PR : RQ equals . Statement-2 : In any triangle, bisector of an angle divides the triangle into two similar triangles.
Answer: (2)
Solution
P = (−2, −2), Q = (1, −2), and O (origin) is the common vertex: OP = , OQ = . The bisector of angle POQ divides PQ in the ratio OP : OQ, so PR : RQ = \sqrt$2 :
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