JEE Main 2022 Mathematics question
Let AB be a chord of length 12 of the circle . If tangents drawn to the circle at points A and B intersect at the point P, then five times the distance of point P from chord AB is equal to .
Answer: 72
Solution
The circle has radius r = 13/2 and centre C. The distance from C to the chord is \sqrt{r^{2} - 6^{2}}\sqrt{169/4 - 36}$
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